Finding the Third Proportional to 532.83 and 807.47

Step by Step Solution

1. Step 1: Write the proportion equation
   532.83 : 807.47 = 807.47 : x
2. Step 2: Convert to fraction form
   532.83/807.47 = 807.47/x
3. Step 3: Cross multiply
   532.83x = 807.47 × 807.47
4. Step 4: Simplify right side
   532.83x = 652,005.78
5. Step 5: Solve for x
   x = 652,005.78/532.83
6. Step 6: Final answer
   x = 1,223.67