Finding the Third Proportional to 99.50 and 171.75

Step by Step Solution

1. Step 1: Write the proportion equation
   99.50 : 171.75 = 171.75 : x
2. Step 2: Convert to fraction form
   99.50/171.75 = 171.75/x
3. Step 3: Cross multiply
   99.50x = 171.75 × 171.75
4. Step 4: Simplify right side
   99.50x = 29,498.06
5. Step 5: Solve for x
   x = 29,498.06/99.50
6. Step 6: Final answer
   x = 296.46