Finding the Third Proportional to 102,197,414 and 224,180,456

Step by Step Solution

1. Step 1: Write the proportion equation
   102,197,414 : 224,180,456 = 224,180,456 : x
2. Step 2: Convert to fraction form
   102,197,414/224,180,456 = 224,180,456/x
3. Step 3: Cross multiply
   102,197,414x = 224,180,456 × 224,180,456
4. Step 4: Simplify right side
   102,197,414x = 50,256,876,852,367,936
5. Step 5: Solve for x
   x = 50,256,876,852,367,936/102,197,414
6. Step 6: Final answer
   x = 491,762,705.98