Finding the Third Proportional to 77,562 and 111,825

Step by Step Solution

1. Step 1: Write the proportion equation
   77,562 : 111,825 = 111,825 : x
2. Step 2: Convert to fraction form
   77,562/111,825 = 111,825/x
3. Step 3: Cross multiply
   77,562x = 111,825 × 111,825
4. Step 4: Simplify right side
   77,562x = 12,504,830,625
5. Step 5: Solve for x
   x = 12,504,830,625/77,562
6. Step 6: Final answer
   x = 161,223.67