Finding the Third Proportional to 111,822 and 169,187

Step by Step Solution

1. Step 1: Write the proportion equation
   111,822 : 169,187 = 169,187 : x
2. Step 2: Convert to fraction form
   111,822/169,187 = 169,187/x
3. Step 3: Cross multiply
   111,822x = 169,187 × 169,187
4. Step 4: Simplify right side
   111,822x = 28,624,240,969
5. Step 5: Solve for x
   x = 28,624,240,969/111,822
6. Step 6: Final answer
   x = 255,980.41