Finding the Third Proportional to 137.45 and 280.52

Step by Step Solution

1. Step 1: Write the proportion equation
   137.45 : 280.52 = 280.52 : x
2. Step 2: Convert to fraction form
   137.45/280.52 = 280.52/x
3. Step 3: Cross multiply
   137.45x = 280.52 × 280.52
4. Step 4: Simplify right side
   137.45x = 78,691.76
5. Step 5: Solve for x
   x = 78,691.76/137.45
6. Step 6: Final answer
   x = 572.50