Finding the Third Proportional to 54,648 and 118,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,648 : 118,366.50 = 118,366.50 : x
2. Step 2: Convert to fraction form
   54,648/118,366.50 = 118,366.50/x
3. Step 3: Cross multiply
   54,648x = 118,366.50 × 118,366.50
4. Step 4: Simplify right side
   54,648x = 14,010,628,322.25
5. Step 5: Solve for x
   x = 14,010,628,322.25/54,648
6. Step 6: Final answer
   x = 256,379.53