Finding the Third Proportional to 111,776 and 169,110

Step by Step Solution

1. Step 1: Write the proportion equation
   111,776 : 169,110 = 169,110 : x
2. Step 2: Convert to fraction form
   111,776/169,110 = 169,110/x
3. Step 3: Cross multiply
   111,776x = 169,110 × 169,110
4. Step 4: Simplify right side
   111,776x = 28,598,192,100
5. Step 5: Solve for x
   x = 28,598,192,100/111,776
6. Step 6: Final answer
   x = 255,852.71