Finding the Third Proportional to 109,766 and 160,746

Step by Step Solution

1. Step 1: Write the proportion equation
   109,766 : 160,746 = 160,746 : x
2. Step 2: Convert to fraction form
   109,766/160,746 = 160,746/x
3. Step 3: Cross multiply
   109,766x = 160,746 × 160,746
4. Step 4: Simplify right side
   109,766x = 25,839,276,516
5. Step 5: Solve for x
   x = 25,839,276,516/109,766
6. Step 6: Final answer
   x = 235,403.28