Finding the Third Proportional to 353.38 and 527.69

Step by Step Solution

1. Step 1: Write the proportion equation
   353.38 : 527.69 = 527.69 : x
2. Step 2: Convert to fraction form
   353.38/527.69 = 527.69/x
3. Step 3: Cross multiply
   353.38x = 527.69 × 527.69
4. Step 4: Simplify right side
   353.38x = 278,454.10
5. Step 5: Solve for x
   x = 278,454.10/353.38
6. Step 6: Final answer
   x = 787.98