Finding the Third Proportional to 77,789.63 and 120,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,789.63 : 120,139.50 = 120,139.50 : x
2. Step 2: Convert to fraction form
   77,789.63/120,139.50 = 120,139.50/x
3. Step 3: Cross multiply
   77,789.63x = 120,139.50 × 120,139.50
4. Step 4: Simplify right side
   77,789.63x = 14,433,499,460.25
5. Step 5: Solve for x
   x = 14,433,499,460.25/77,789.63
6. Step 6: Final answer
   x = 185,545.30