Finding the Third Proportional to 111,789 and 169,128

Step by Step Solution

1. Step 1: Write the proportion equation
   111,789 : 169,128 = 169,128 : x
2. Step 2: Convert to fraction form
   111,789/169,128 = 169,128/x
3. Step 3: Cross multiply
   111,789x = 169,128 × 169,128
4. Step 4: Simplify right side
   111,789x = 28,604,280,384
5. Step 5: Solve for x
   x = 28,604,280,384/111,789
6. Step 6: Final answer
   x = 255,877.42