Finding the Third Proportional to 76,542 and 111,789

Step by Step Solution

1. Step 1: Write the proportion equation
   76,542 : 111,789 = 111,789 : x
2. Step 2: Convert to fraction form
   76,542/111,789 = 111,789/x
3. Step 3: Cross multiply
   76,542x = 111,789 × 111,789
4. Step 4: Simplify right side
   76,542x = 12,496,780,521
5. Step 5: Solve for x
   x = 12,496,780,521/76,542
6. Step 6: Final answer
   x = 163,266.97