Finding the Third Proportional to 76,507 and 111,823

Step by Step Solution

1. Step 1: Write the proportion equation
   76,507 : 111,823 = 111,823 : x
2. Step 2: Convert to fraction form
   76,507/111,823 = 111,823/x
3. Step 3: Cross multiply
   76,507x = 111,823 × 111,823
4. Step 4: Simplify right side
   76,507x = 12,504,383,329
5. Step 5: Solve for x
   x = 12,504,383,329/76,507
6. Step 6: Final answer
   x = 163,441.04