Finding the Third Proportional to 105,883 and 168,545

Step by Step Solution

1. Step 1: Write the proportion equation
   105,883 : 168,545 = 168,545 : x
2. Step 2: Convert to fraction form
   105,883/168,545 = 168,545/x
3. Step 3: Cross multiply
   105,883x = 168,545 × 168,545
4. Step 4: Simplify right side
   105,883x = 28,407,417,025
5. Step 5: Solve for x
   x = 28,407,417,025/105,883
6. Step 6: Final answer
   x = 268,290.63