Finding the Third Proportional to 54,109 and 118,059

Step by Step Solution

1. Step 1: Write the proportion equation
   54,109 : 118,059 = 118,059 : x
2. Step 2: Convert to fraction form
   54,109/118,059 = 118,059/x
3. Step 3: Cross multiply
   54,109x = 118,059 × 118,059
4. Step 4: Simplify right side
   54,109x = 13,937,927,481
5. Step 5: Solve for x
   x = 13,937,927,481/54,109
6. Step 6: Final answer
   x = 257,589.82