Finding the Third Proportional to 49,791 and 78,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,791 : 78,879.50 = 78,879.50 : x
2. Step 2: Convert to fraction form
   49,791/78,879.50 = 78,879.50/x
3. Step 3: Cross multiply
   49,791x = 78,879.50 × 78,879.50
4. Step 4: Simplify right side
   49,791x = 6,221,975,520.25
5. Step 5: Solve for x
   x = 6,221,975,520.25/49,791
6. Step 6: Final answer
   x = 124,961.85