Finding the Third Proportional to 76,068 and 111,798

Step by Step Solution

1. Step 1: Write the proportion equation
   76,068 : 111,798 = 111,798 : x
2. Step 2: Convert to fraction form
   76,068/111,798 = 111,798/x
3. Step 3: Cross multiply
   76,068x = 111,798 × 111,798
4. Step 4: Simplify right side
   76,068x = 12,498,792,804
5. Step 5: Solve for x
   x = 12,498,792,804/76,068
6. Step 6: Final answer
   x = 164,310.79