Finding the Third Proportional to 103,682 and 222,468

Step by Step Solution

1. Step 1: Write the proportion equation
   103,682 : 222,468 = 222,468 : x
2. Step 2: Convert to fraction form
   103,682/222,468 = 222,468/x
3. Step 3: Cross multiply
   103,682x = 222,468 × 222,468
4. Step 4: Simplify right side
   103,682x = 49,492,011,024
5. Step 5: Solve for x
   x = 49,492,011,024/103,682
6. Step 6: Final answer
   x = 477,344.29