Finding the Third Proportional to 162.50 and 173.75

Step by Step Solution

1. Step 1: Write the proportion equation
   162.50 : 173.75 = 173.75 : x
2. Step 2: Convert to fraction form
   162.50/173.75 = 173.75/x
3. Step 3: Cross multiply
   162.50x = 173.75 × 173.75
4. Step 4: Simplify right side
   162.50x = 30,189.06
5. Step 5: Solve for x
   x = 30,189.06/162.50
6. Step 6: Final answer
   x = 185.78