Finding the Third Proportional to 77,969.25 and 123,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,969.25 : 123,952.50 = 123,952.50 : x
2. Step 2: Convert to fraction form
   77,969.25/123,952.50 = 123,952.50/x
3. Step 3: Cross multiply
   77,969.25x = 123,952.50 × 123,952.50
4. Step 4: Simplify right side
   77,969.25x = 15,364,222,256.25
5. Step 5: Solve for x
   x = 15,364,222,256.25/77,969.25
6. Step 6: Final answer
   x = 197,054.89