Finding the Third Proportional to 75,540 and 111,222

Step by Step Solution

1. Step 1: Write the proportion equation
   75,540 : 111,222 = 111,222 : x
2. Step 2: Convert to fraction form
   75,540/111,222 = 111,222/x
3. Step 3: Cross multiply
   75,540x = 111,222 × 111,222
4. Step 4: Simplify right side
   75,540x = 12,370,333,284
5. Step 5: Solve for x
   x = 12,370,333,284/75,540
6. Step 6: Final answer
   x = 163,758.71