Finding the Third Proportional to 72.50 and 171.13

Step by Step Solution

1. Step 1: Write the proportion equation
   72.50 : 171.13 = 171.13 : x
2. Step 2: Convert to fraction form
   72.50/171.13 = 171.13/x
3. Step 3: Cross multiply
   72.50x = 171.13 × 171.13
4. Step 4: Simplify right side
   72.50x = 29,283.77
5. Step 5: Solve for x
   x = 29,283.77/72.50
6. Step 6: Final answer
   x = 403.91