Finding the Third Proportional to 271,017 and 421,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,017 : 421,537.50 = 421,537.50 : x
2. Step 2: Convert to fraction form
   271,017/421,537.50 = 421,537.50/x
3. Step 3: Cross multiply
   271,017x = 421,537.50 × 421,537.50
4. Step 4: Simplify right side
   271,017x = 177,693,863,906.25
5. Step 5: Solve for x
   x = 177,693,863,906.25/271,017
6. Step 6: Final answer
   x = 655,655.79