Finding the Third Proportional to 77.52 and 123.40

Step by Step Solution

1. Step 1: Write the proportion equation
   77.52 : 123.40 = 123.40 : x
2. Step 2: Convert to fraction form
   77.52/123.40 = 123.40/x
3. Step 3: Cross multiply
   77.52x = 123.40 × 123.40
4. Step 4: Simplify right side
   77.52x = 15,227.17
5. Step 5: Solve for x
   x = 15,227.17/77.52
6. Step 6: Final answer
   x = 196.43