Finding the Third Proportional to 54,493 and 116,762

Step by Step Solution

1. Step 1: Write the proportion equation
   54,493 : 116,762 = 116,762 : x
2. Step 2: Convert to fraction form
   54,493/116,762 = 116,762/x
3. Step 3: Cross multiply
   54,493x = 116,762 × 116,762
4. Step 4: Simplify right side
   54,493x = 13,633,364,644
5. Step 5: Solve for x
   x = 13,633,364,644/54,493
6. Step 6: Final answer
   x = 250,185.61