Finding the Third Proportional to 10,192,217,105,014 and 22,357,699,930,468

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192,217,105,014 : 22,357,699,930,468 = 22,357,699,930,468 : x
2. Step 2: Convert to fraction form
   10,192,217,105,014/22,357,699,930,468 = 22,357,699,930,468/x
3. Step 3: Cross multiply
   10,192,217,105,014x = 22,357,699,930,468 × 22,357,699,930,468
4. Step 4: Simplify right side
   10,192,217,105,014x = 499,866,746,180,848,833,425,047,552
5. Step 5: Solve for x
   x = 499,866,746,180,848,833,425,047,552/10,192,217,105,014
6. Step 6: Final answer
   x = 49,043,965,707,416.34