Finding the Third Proportional to 111,974 and 169,738

Step by Step Solution

1. Step 1: Write the proportion equation
   111,974 : 169,738 = 169,738 : x
2. Step 2: Convert to fraction form
   111,974/169,738 = 169,738/x
3. Step 3: Cross multiply
   111,974x = 169,738 × 169,738
4. Step 4: Simplify right side
   111,974x = 28,810,988,644
5. Step 5: Solve for x
   x = 28,810,988,644/111,974
6. Step 6: Final answer
   x = 257,300.70