Finding the Third Proportional to 151.80 and 337.76

Step by Step Solution

1. Step 1: Write the proportion equation
   151.80 : 337.76 = 337.76 : x
2. Step 2: Convert to fraction form
   151.80/337.76 = 337.76/x
3. Step 3: Cross multiply
   151.80x = 337.76 × 337.76
4. Step 4: Simplify right side
   151.80x = 114,084.30
5. Step 5: Solve for x
   x = 114,084.30/151.80
6. Step 6: Final answer
   x = 751.56