Finding the Third Proportional to 521.88 and 807.69

Step by Step Solution

1. Step 1: Write the proportion equation
   521.88 : 807.69 = 807.69 : x
2. Step 2: Convert to fraction form
   521.88/807.69 = 807.69/x
3. Step 3: Cross multiply
   521.88x = 807.69 × 807.69
4. Step 4: Simplify right side
   521.88x = 652,359.10
5. Step 5: Solve for x
   x = 652,359.10/521.88
6. Step 6: Final answer
   x = 1,250.03