Finding the Third Proportional to 77,789.50 and 120,139.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,789.50 : 120,139.25 = 120,139.25 : x
2. Step 2: Convert to fraction form
   77,789.50/120,139.25 = 120,139.25/x
3. Step 3: Cross multiply
   77,789.50x = 120,139.25 × 120,139.25
4. Step 4: Simplify right side
   77,789.50x = 14,433,439,390.56
5. Step 5: Solve for x
   x = 14,433,439,390.56/77,789.50
6. Step 6: Final answer
   x = 185,544.83