Finding the Third Proportional to 77,854.50 and 110,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,854.50 : 110,947.50 = 110,947.50 : x
2. Step 2: Convert to fraction form
   77,854.50/110,947.50 = 110,947.50/x
3. Step 3: Cross multiply
   77,854.50x = 110,947.50 × 110,947.50
4. Step 4: Simplify right side
   77,854.50x = 12,309,347,756.25
5. Step 5: Solve for x
   x = 12,309,347,756.25/77,854.50
6. Step 6: Final answer
   x = 158,107.08