Finding the Third Proportional to 51,161 and 78,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,161 : 78,928.50 = 78,928.50 : x
2. Step 2: Convert to fraction form
   51,161/78,928.50 = 78,928.50/x
3. Step 3: Cross multiply
   51,161x = 78,928.50 × 78,928.50
4. Step 4: Simplify right side
   51,161x = 6,229,708,112.25
5. Step 5: Solve for x
   x = 6,229,708,112.25/51,161
6. Step 6: Final answer
   x = 121,766.74