Finding the Third Proportional to 102,096,018 and 224,029,260

Step by Step Solution

1. Step 1: Write the proportion equation
   102,096,018 : 224,029,260 = 224,029,260 : x
2. Step 2: Convert to fraction form
   102,096,018/224,029,260 = 224,029,260/x
3. Step 3: Cross multiply
   102,096,018x = 224,029,260 × 224,029,260
4. Step 4: Simplify right side
   102,096,018x = 50,189,109,336,147,600
5. Step 5: Solve for x
   x = 50,189,109,336,147,600/102,096,018
6. Step 6: Final answer
   x = 491,587,334.35