Finding the Third Proportional to 502.88 and 742.69

Step by Step Solution

1. Step 1: Write the proportion equation
   502.88 : 742.69 = 742.69 : x
2. Step 2: Convert to fraction form
   502.88/742.69 = 742.69/x
3. Step 3: Cross multiply
   502.88x = 742.69 × 742.69
4. Step 4: Simplify right side
   502.88x = 551,584.72
5. Step 5: Solve for x
   x = 551,584.72/502.88
6. Step 6: Final answer
   x = 1,096.86