Finding the Third Proportional to 54,378 and 84,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,378 : 84,046.50 = 84,046.50 : x
2. Step 2: Convert to fraction form
   54,378/84,046.50 = 84,046.50/x
3. Step 3: Cross multiply
   54,378x = 84,046.50 × 84,046.50
4. Step 4: Simplify right side
   54,378x = 7,063,814,162.25
5. Step 5: Solve for x
   x = 7,063,814,162.25/54,378
6. Step 6: Final answer
   x = 129,902.06