Finding the Third Proportional to 209,479,866,436 and 459,516,114,056

Step by Step Solution

1. Step 1: Write the proportion equation
   209,479,866,436 : 459,516,114,056 = 459,516,114,056 : x
2. Step 2: Convert to fraction form
   209,479,866,436/459,516,114,056 = 459,516,114,056/x
3. Step 3: Cross multiply
   209,479,866,436x = 459,516,114,056 × 459,516,114,056
4. Step 4: Simplify right side
   209,479,866,436x = 211,155,059,077,126,788,481,024
5. Step 5: Solve for x
   x = 211,155,059,077,126,788,481,024/209,479,866,436
6. Step 6: Final answer
   x = 1,007,996,914,785.31