Finding the Third Proportional to 54,738 and 118,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,738 : 118,021.50 = 118,021.50 : x
2. Step 2: Convert to fraction form
   54,738/118,021.50 = 118,021.50/x
3. Step 3: Cross multiply
   54,738x = 118,021.50 × 118,021.50
4. Step 4: Simplify right side
   54,738x = 13,929,074,462.25
5. Step 5: Solve for x
   x = 13,929,074,462.25/54,738
6. Step 6: Final answer
   x = 254,468.09