Finding the Third Proportional to 54,006 and 112,314

Step by Step Solution

1. Step 1: Write the proportion equation
   54,006 : 112,314 = 112,314 : x
2. Step 2: Convert to fraction form
   54,006/112,314 = 112,314/x
3. Step 3: Cross multiply
   54,006x = 112,314 × 112,314
4. Step 4: Simplify right side
   54,006x = 12,614,434,596
5. Step 5: Solve for x
   x = 12,614,434,596/54,006
6. Step 6: Final answer
   x = 233,574.69