Finding the Third Proportional to 42.50 and 88.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42.50 : 88.75 = 88.75 : x
2. Step 2: Convert to fraction form
   42.50/88.75 = 88.75/x
3. Step 3: Cross multiply
   42.50x = 88.75 × 88.75
4. Step 4: Simplify right side
   42.50x = 7,876.56
5. Step 5: Solve for x
   x = 7,876.56/42.50
6. Step 6: Final answer
   x = 185.33