Finding the Third Proportional to 54,825 and 118,109

Step by Step Solution

1. Step 1: Write the proportion equation
   54,825 : 118,109 = 118,109 : x
2. Step 2: Convert to fraction form
   54,825/118,109 = 118,109/x
3. Step 3: Cross multiply
   54,825x = 118,109 × 118,109
4. Step 4: Simplify right side
   54,825x = 13,949,735,881
5. Step 5: Solve for x
   x = 13,949,735,881/54,825
6. Step 6: Final answer
   x = 254,441.15