Finding the Third Proportional to 271,003,675,397 and 409,996,695,968

Step by Step Solution

1. Step 1: Write the proportion equation
   271,003,675,397 : 409,996,695,968 = 409,996,695,968 : x
2. Step 2: Convert to fraction form
   271,003,675,397/409,996,695,968 = 409,996,695,968/x
3. Step 3: Cross multiply
   271,003,675,397x = 409,996,695,968 × 409,996,695,968
4. Step 4: Simplify right side
   271,003,675,397x = 168,097,290,704,676,613,783,552
5. Step 5: Solve for x
   x = 168,097,290,704,676,613,783,552/271,003,675,397
6. Step 6: Final answer
   x = 620,276,793,141.00