Finding the Third Proportional to 105,386 and 160,706

Step by Step Solution

1. Step 1: Write the proportion equation
   105,386 : 160,706 = 160,706 : x
2. Step 2: Convert to fraction form
   105,386/160,706 = 160,706/x
3. Step 3: Cross multiply
   105,386x = 160,706 × 160,706
4. Step 4: Simplify right side
   105,386x = 25,826,418,436
5. Step 5: Solve for x
   x = 25,826,418,436/105,386
6. Step 6: Final answer
   x = 245,064.98