Finding the Third Proportional to 46,496 and 101,686

Step by Step Solution

1. Step 1: Write the proportion equation
   46,496 : 101,686 = 101,686 : x
2. Step 2: Convert to fraction form
   46,496/101,686 = 101,686/x
3. Step 3: Cross multiply
   46,496x = 101,686 × 101,686
4. Step 4: Simplify right side
   46,496x = 10,340,042,596
5. Step 5: Solve for x
   x = 10,340,042,596/46,496
6. Step 6: Final answer
   x = 222,385.64