Finding the Third Proportional to 105,737 and 154,386

Step by Step Solution

1. Step 1: Write the proportion equation
   105,737 : 154,386 = 154,386 : x
2. Step 2: Convert to fraction form
   105,737/154,386 = 154,386/x
3. Step 3: Cross multiply
   105,737x = 154,386 × 154,386
4. Step 4: Simplify right side
   105,737x = 23,835,036,996
5. Step 5: Solve for x
   x = 23,835,036,996/105,737
6. Step 6: Final answer
   x = 225,418.13