Finding the Third Proportional to 76,566 and 111,825

Step by Step Solution

1. Step 1: Write the proportion equation
   76,566 : 111,825 = 111,825 : x
2. Step 2: Convert to fraction form
   76,566/111,825 = 111,825/x
3. Step 3: Cross multiply
   76,566x = 111,825 × 111,825
4. Step 4: Simplify right side
   76,566x = 12,504,830,625
5. Step 5: Solve for x
   x = 12,504,830,625/76,566
6. Step 6: Final answer
   x = 163,320.93