Finding the Third Proportional to 216.38 and 502.69

Step by Step Solution

1. Step 1: Write the proportion equation
   216.38 : 502.69 = 502.69 : x
2. Step 2: Convert to fraction form
   216.38/502.69 = 502.69/x
3. Step 3: Cross multiply
   216.38x = 502.69 × 502.69
4. Step 4: Simplify right side
   216.38x = 252,694.72
5. Step 5: Solve for x
   x = 252,694.72/216.38
6. Step 6: Final answer
   x = 1,167.86