Finding the Third Proportional to 137.18 and 328.61

Step by Step Solution

1. Step 1: Write the proportion equation
   137.18 : 328.61 = 328.61 : x
2. Step 2: Convert to fraction form
   137.18/328.61 = 328.61/x
3. Step 3: Cross multiply
   137.18x = 328.61 × 328.61
4. Step 4: Simplify right side
   137.18x = 107,981.55
5. Step 5: Solve for x
   x = 107,981.55/137.18
6. Step 6: Final answer
   x = 787.15