Finding the Third Proportional to 462,595,310,414 and 1,014,553,222,144

Step by Step Solution

1. Step 1: Write the proportion equation
   462,595,310,414 : 1,014,553,222,144 = 1,014,553,222,144 : x
2. Step 2: Convert to fraction form
   462,595,310,414/1,014,553,222,144 = 1,014,553,222,144/x
3. Step 3: Cross multiply
   462,595,310,414x = 1,014,553,222,144 × 1,014,553,222,144
4. Step 4: Simplify right side
   462,595,310,414x = 1,029,318,240,562,772,627,685,376
5. Step 5: Solve for x
   x = 1,029,318,240,562,772,627,685,376/462,595,310,414
6. Step 6: Final answer
   x = 2,225,094,412,741.85