Finding the Third Proportional to 105,638 and 153,689

Step by Step Solution

1. Step 1: Write the proportion equation
   105,638 : 153,689 = 153,689 : x
2. Step 2: Convert to fraction form
   105,638/153,689 = 153,689/x
3. Step 3: Cross multiply
   105,638x = 153,689 × 153,689
4. Step 4: Simplify right side
   105,638x = 23,620,308,721
5. Step 5: Solve for x
   x = 23,620,308,721/105,638
6. Step 6: Final answer
   x = 223,596.70