Finding the Third Proportional to 77,218.50 and 123,321.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,218.50 : 123,321.75 = 123,321.75 : x
2. Step 2: Convert to fraction form
   77,218.50/123,321.75 = 123,321.75/x
3. Step 3: Cross multiply
   77,218.50x = 123,321.75 × 123,321.75
4. Step 4: Simplify right side
   77,218.50x = 15,208,254,023.06
5. Step 5: Solve for x
   x = 15,208,254,023.06/77,218.50
6. Step 6: Final answer
   x = 196,950.91