Finding the Third Proportional to 109,696 and 160,386

Step by Step Solution

1. Step 1: Write the proportion equation
   109,696 : 160,386 = 160,386 : x
2. Step 2: Convert to fraction form
   109,696/160,386 = 160,386/x
3. Step 3: Cross multiply
   109,696x = 160,386 × 160,386
4. Step 4: Simplify right side
   109,696x = 25,723,668,996
5. Step 5: Solve for x
   x = 25,723,668,996/109,696
6. Step 6: Final answer
   x = 234,499.61