Finding the Third Proportional to 100.88 and 160.76

Step by Step Solution

1. Step 1: Write the proportion equation
   100.88 : 160.76 = 160.76 : x
2. Step 2: Convert to fraction form
   100.88/160.76 = 160.76/x
3. Step 3: Cross multiply
   100.88x = 160.76 × 160.76
4. Step 4: Simplify right side
   100.88x = 25,844.02
5. Step 5: Solve for x
   x = 25,844.02/100.88
6. Step 6: Final answer
   x = 256.18