Finding the Third Proportional to 54,747 and 118,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,747 : 118,039.50 = 118,039.50 : x
2. Step 2: Convert to fraction form
   54,747/118,039.50 = 118,039.50/x
3. Step 3: Cross multiply
   54,747x = 118,039.50 × 118,039.50
4. Step 4: Simplify right side
   54,747x = 13,933,323,560.25
5. Step 5: Solve for x
   x = 13,933,323,560.25/54,747
6. Step 6: Final answer
   x = 254,503.87