Finding the Third Proportional to 77,977.69 and 123,952.78

Step by Step Solution

1. Step 1: Write the proportion equation
   77,977.69 : 123,952.78 = 123,952.78 : x
2. Step 2: Convert to fraction form
   77,977.69/123,952.78 = 123,952.78/x
3. Step 3: Cross multiply
   77,977.69x = 123,952.78 × 123,952.78
4. Step 4: Simplify right side
   77,977.69x = 15,364,291,979.61
5. Step 5: Solve for x
   x = 15,364,291,979.61/77,977.69
6. Step 6: Final answer
   x = 197,034.47