Finding the Third Proportional to 54,289.50 and 78,401.25

Step by Step Solution

1. Step 1: Write the proportion equation
   54,289.50 : 78,401.25 = 78,401.25 : x
2. Step 2: Convert to fraction form
   54,289.50/78,401.25 = 78,401.25/x
3. Step 3: Cross multiply
   54,289.50x = 78,401.25 × 78,401.25
4. Step 4: Simplify right side
   54,289.50x = 6,146,756,001.56
5. Step 5: Solve for x
   x = 6,146,756,001.56/54,289.50
6. Step 6: Final answer
   x = 113,221.82