Finding the Third Proportional to 77.81 and 123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77.81 : 123.75 = 123.75 : x
2. Step 2: Convert to fraction form
   77.81/123.75 = 123.75/x
3. Step 3: Cross multiply
   77.81x = 123.75 × 123.75
4. Step 4: Simplify right side
   77.81x = 15,314.06
5. Step 5: Solve for x
   x = 15,314.06/77.81
6. Step 6: Final answer
   x = 196.81