Finding the Third Proportional to 54,742 and 118,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,742 : 118,029.50 = 118,029.50 : x
2. Step 2: Convert to fraction form
   54,742/118,029.50 = 118,029.50/x
3. Step 3: Cross multiply
   54,742x = 118,029.50 × 118,029.50
4. Step 4: Simplify right side
   54,742x = 13,930,962,870.25
5. Step 5: Solve for x
   x = 13,930,962,870.25/54,742
6. Step 6: Final answer
   x = 254,484.00