Finding the Third Proportional to 72.50 and 180.13

Step by Step Solution

1. Step 1: Write the proportion equation
   72.50 : 180.13 = 180.13 : x
2. Step 2: Convert to fraction form
   72.50/180.13 = 180.13/x
3. Step 3: Cross multiply
   72.50x = 180.13 × 180.13
4. Step 4: Simplify right side
   72.50x = 32,445.02
5. Step 5: Solve for x
   x = 32,445.02/72.50
6. Step 6: Final answer
   x = 447.52