Finding the Third Proportional to 108,774 and 168,084

Step by Step Solution

1. Step 1: Write the proportion equation
   108,774 : 168,084 = 168,084 : x
2. Step 2: Convert to fraction form
   108,774/168,084 = 168,084/x
3. Step 3: Cross multiply
   108,774x = 168,084 × 168,084
4. Step 4: Simplify right side
   108,774x = 28,252,231,056
5. Step 5: Solve for x
   x = 28,252,231,056/108,774
6. Step 6: Final answer
   x = 259,733.31