Finding the Third Proportional to 502.88 and 787.59

Step by Step Solution

1. Step 1: Write the proportion equation
   502.88 : 787.59 = 787.59 : x
2. Step 2: Convert to fraction form
   502.88/787.59 = 787.59/x
3. Step 3: Cross multiply
   502.88x = 787.59 × 787.59
4. Step 4: Simplify right side
   502.88x = 620,303.92
5. Step 5: Solve for x
   x = 620,303.92/502.88
6. Step 6: Final answer
   x = 1,233.52