Finding the Third Proportional to 106,686 and 233,055

Step by Step Solution

1. Step 1: Write the proportion equation
   106,686 : 233,055 = 233,055 : x
2. Step 2: Convert to fraction form
   106,686/233,055 = 233,055/x
3. Step 3: Cross multiply
   106,686x = 233,055 × 233,055
4. Step 4: Simplify right side
   106,686x = 54,314,633,025
5. Step 5: Solve for x
   x = 54,314,633,025/106,686
6. Step 6: Final answer
   x = 509,107.41