Finding the Third Proportional to 77.50 and 188.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77.50 : 188.25 = 188.25 : x
2. Step 2: Convert to fraction form
   77.50/188.25 = 188.25/x
3. Step 3: Cross multiply
   77.50x = 188.25 × 188.25
4. Step 4: Simplify right side
   77.50x = 35,438.06
5. Step 5: Solve for x
   x = 35,438.06/77.50
6. Step 6: Final answer
   x = 457.27