Finding the Third Proportional to 100.55 and 176.91

Step by Step Solution

1. Step 1: Write the proportion equation
   100.55 : 176.91 = 176.91 : x
2. Step 2: Convert to fraction form
   100.55/176.91 = 176.91/x
3. Step 3: Cross multiply
   100.55x = 176.91 × 176.91
4. Step 4: Simplify right side
   100.55x = 31,295.82
5. Step 5: Solve for x
   x = 31,295.82/100.55
6. Step 6: Final answer
   x = 311.26