Finding the Third Proportional to 111,982 and 169,749

Step by Step Solution

1. Step 1: Write the proportion equation
   111,982 : 169,749 = 169,749 : x
2. Step 2: Convert to fraction form
   111,982/169,749 = 169,749/x
3. Step 3: Cross multiply
   111,982x = 169,749 × 169,749
4. Step 4: Simplify right side
   111,982x = 28,814,723,001
5. Step 5: Solve for x
   x = 28,814,723,001/111,982
6. Step 6: Final answer
   x = 257,315.67