Finding the Third Proportional to 271,002 and 402,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,002 : 402,574.50 = 402,574.50 : x
2. Step 2: Convert to fraction form
   271,002/402,574.50 = 402,574.50/x
3. Step 3: Cross multiply
   271,002x = 402,574.50 × 402,574.50
4. Step 4: Simplify right side
   271,002x = 162,066,228,050.25
5. Step 5: Solve for x
   x = 162,066,228,050.25/271,002
6. Step 6: Final answer
   x = 598,025.95