Finding the Third Proportional to 54,085.50 and 80,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   54,085.50 : 80,678.25 = 80,678.25 : x
2. Step 2: Convert to fraction form
   54,085.50/80,678.25 = 80,678.25/x
3. Step 3: Cross multiply
   54,085.50x = 80,678.25 × 80,678.25
4. Step 4: Simplify right side
   54,085.50x = 6,508,980,023.06
5. Step 5: Solve for x
   x = 6,508,980,023.06/54,085.50
6. Step 6: Final answer
   x = 120,346.12