Finding the Third Proportional to 105,738 and 155,686

Step by Step Solution

1. Step 1: Write the proportion equation
   105,738 : 155,686 = 155,686 : x
2. Step 2: Convert to fraction form
   105,738/155,686 = 155,686/x
3. Step 3: Cross multiply
   105,738x = 155,686 × 155,686
4. Step 4: Simplify right side
   105,738x = 24,238,130,596
5. Step 5: Solve for x
   x = 24,238,130,596/105,738
6. Step 6: Final answer
   x = 229,228.19