Finding the Third Proportional to 105,739 and 154,388

Step by Step Solution

1. Step 1: Write the proportion equation
   105,739 : 154,388 = 154,388 : x
2. Step 2: Convert to fraction form
   105,739/154,388 = 154,388/x
3. Step 3: Cross multiply
   105,739x = 154,388 × 154,388
4. Step 4: Simplify right side
   105,739x = 23,835,654,544
5. Step 5: Solve for x
   x = 23,835,654,544/105,739
6. Step 6: Final answer
   x = 225,419.71