Finding the Third Proportional to 271,083 and 402,700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,083 : 402,700.50 = 402,700.50 : x
2. Step 2: Convert to fraction form
   271,083/402,700.50 = 402,700.50/x
3. Step 3: Cross multiply
   271,083x = 402,700.50 × 402,700.50
4. Step 4: Simplify right side
   271,083x = 162,167,692,700.25
5. Step 5: Solve for x
   x = 162,167,692,700.25/271,083
6. Step 6: Final answer
   x = 598,221.55