Finding the Third Proportional to 78,252 and 111,498

Step by Step Solution

1. Step 1: Write the proportion equation
   78,252 : 111,498 = 111,498 : x
2. Step 2: Convert to fraction form
   78,252/111,498 = 111,498/x
3. Step 3: Cross multiply
   78,252x = 111,498 × 111,498
4. Step 4: Simplify right side
   78,252x = 12,431,804,004
5. Step 5: Solve for x
   x = 12,431,804,004/78,252
6. Step 6: Final answer
   x = 158,868.83