Finding the Third Proportional to 77,196.38 and 123,252.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,196.38 : 123,252.75 = 123,252.75 : x
2. Step 2: Convert to fraction form
   77,196.38/123,252.75 = 123,252.75/x
3. Step 3: Cross multiply
   77,196.38x = 123,252.75 × 123,252.75
4. Step 4: Simplify right side
   77,196.38x = 15,191,240,382.56
5. Step 5: Solve for x
   x = 15,191,240,382.56/77,196.38
6. Step 6: Final answer
   x = 196,786.97