Finding the Third Proportional to 105,386 and 160,705

Step by Step Solution

1. Step 1: Write the proportion equation
   105,386 : 160,705 = 160,705 : x
2. Step 2: Convert to fraction form
   105,386/160,705 = 160,705/x
3. Step 3: Cross multiply
   105,386x = 160,705 × 160,705
4. Step 4: Simplify right side
   105,386x = 25,826,097,025
5. Step 5: Solve for x
   x = 25,826,097,025/105,386
6. Step 6: Final answer
   x = 245,061.93