Finding the Third Proportional to 105,234 and 160,983

Step by Step Solution

1. Step 1: Write the proportion equation
   105,234 : 160,983 = 160,983 : x
2. Step 2: Convert to fraction form
   105,234/160,983 = 160,983/x
3. Step 3: Cross multiply
   105,234x = 160,983 × 160,983
4. Step 4: Simplify right side
   105,234x = 25,915,526,289
5. Step 5: Solve for x
   x = 25,915,526,289/105,234
6. Step 6: Final answer
   x = 246,265.72