Finding the Third Proportional to 54,138 and 80,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,138 : 80,932.50 = 80,932.50 : x
2. Step 2: Convert to fraction form
   54,138/80,932.50 = 80,932.50/x
3. Step 3: Cross multiply
   54,138x = 80,932.50 × 80,932.50
4. Step 4: Simplify right side
   54,138x = 6,550,069,556.25
5. Step 5: Solve for x
   x = 6,550,069,556.25/54,138
6. Step 6: Final answer
   x = 120,988.39