Finding the Third Proportional to 76,078 and 111,300

Step by Step Solution

1. Step 1: Write the proportion equation
   76,078 : 111,300 = 111,300 : x
2. Step 2: Convert to fraction form
   76,078/111,300 = 111,300/x
3. Step 3: Cross multiply
   76,078x = 111,300 × 111,300
4. Step 4: Simplify right side
   76,078x = 12,387,690,000
5. Step 5: Solve for x
   x = 12,387,690,000/76,078
6. Step 6: Final answer
   x = 162,828.81