Finding the Third Proportional to 133.88 and 296.72

Step by Step Solution

1. Step 1: Write the proportion equation
   133.88 : 296.72 = 296.72 : x
2. Step 2: Convert to fraction form
   133.88/296.72 = 296.72/x
3. Step 3: Cross multiply
   133.88x = 296.72 × 296.72
4. Step 4: Simplify right side
   133.88x = 88,042.02
5. Step 5: Solve for x
   x = 88,042.02/133.88
6. Step 6: Final answer
   x = 657.64