Finding the Third Proportional to 359.50 and 787.38

Step by Step Solution

1. Step 1: Write the proportion equation
   359.50 : 787.38 = 787.38 : x
2. Step 2: Convert to fraction form
   359.50/787.38 = 787.38/x
3. Step 3: Cross multiply
   359.50x = 787.38 × 787.38
4. Step 4: Simplify right side
   359.50x = 619,959.39
5. Step 5: Solve for x
   x = 619,959.39/359.50
6. Step 6: Final answer
   x = 1,724.50