Finding the Third Proportional to 532.69 and 781.59

Step by Step Solution

1. Step 1: Write the proportion equation
   532.69 : 781.59 = 781.59 : x
2. Step 2: Convert to fraction form
   532.69/781.59 = 781.59/x
3. Step 3: Cross multiply
   532.69x = 781.59 × 781.59
4. Step 4: Simplify right side
   532.69x = 610,888.79
5. Step 5: Solve for x
   x = 610,888.79/532.69
6. Step 6: Final answer
   x = 1,146.81