Finding the Third Proportional to 271.90 and 592.52

Step by Step Solution

1. Step 1: Write the proportion equation
   271.90 : 592.52 = 592.52 : x
2. Step 2: Convert to fraction form
   271.90/592.52 = 592.52/x
3. Step 3: Cross multiply
   271.90x = 592.52 × 592.52
4. Step 4: Simplify right side
   271.90x = 351,084.02
5. Step 5: Solve for x
   x = 351,084.02/271.90
6. Step 6: Final answer
   x = 1,291.23