Finding the Third Proportional to 105,388 and 160,758

Step by Step Solution

1. Step 1: Write the proportion equation
   105,388 : 160,758 = 160,758 : x
2. Step 2: Convert to fraction form
   105,388/160,758 = 160,758/x
3. Step 3: Cross multiply
   105,388x = 160,758 × 160,758
4. Step 4: Simplify right side
   105,388x = 25,843,134,564
5. Step 5: Solve for x
   x = 25,843,134,564/105,388
6. Step 6: Final answer
   x = 245,218.95