Finding the Third Proportional to 77,977.50 and 123,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,977.50 : 123,964.50 = 123,964.50 : x
2. Step 2: Convert to fraction form
   77,977.50/123,964.50 = 123,964.50/x
3. Step 3: Cross multiply
   77,977.50x = 123,964.50 × 123,964.50
4. Step 4: Simplify right side
   77,977.50x = 15,367,197,260.25
5. Step 5: Solve for x
   x = 15,367,197,260.25/77,977.50
6. Step 6: Final answer
   x = 197,072.20