Finding the Third Proportional to 77.75 and 124.31

Step by Step Solution

1. Step 1: Write the proportion equation
   77.75 : 124.31 = 124.31 : x
2. Step 2: Convert to fraction form
   77.75/124.31 = 124.31/x
3. Step 3: Cross multiply
   77.75x = 124.31 × 124.31
4. Step 4: Simplify right side
   77.75x = 15,453.60
5. Step 5: Solve for x
   x = 15,453.60/77.75
6. Step 6: Final answer
   x = 198.76