Finding the Third Proportional to 54,727.50 and 78,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,727.50 : 78,634.50 = 78,634.50 : x
2. Step 2: Convert to fraction form
   54,727.50/78,634.50 = 78,634.50/x
3. Step 3: Cross multiply
   54,727.50x = 78,634.50 × 78,634.50
4. Step 4: Simplify right side
   54,727.50x = 6,183,384,590.25
5. Step 5: Solve for x
   x = 6,183,384,590.25/54,727.50
6. Step 6: Final answer
   x = 112,984.96