Finding the Third Proportional to 105,636 and 153,686

Step by Step Solution

1. Step 1: Write the proportion equation
   105,636 : 153,686 = 153,686 : x
2. Step 2: Convert to fraction form
   105,636/153,686 = 153,686/x
3. Step 3: Cross multiply
   105,636x = 153,686 × 153,686
4. Step 4: Simplify right side
   105,636x = 23,619,386,596
5. Step 5: Solve for x
   x = 23,619,386,596/105,636
6. Step 6: Final answer
   x = 223,592.21