Finding the Third Proportional to 106,686 and 233,454

Step by Step Solution

1. Step 1: Write the proportion equation
   106,686 : 233,454 = 233,454 : x
2. Step 2: Convert to fraction form
   106,686/233,454 = 233,454/x
3. Step 3: Cross multiply
   106,686x = 233,454 × 233,454
4. Step 4: Simplify right side
   106,686x = 54,500,770,116
5. Step 5: Solve for x
   x = 54,500,770,116/106,686
6. Step 6: Final answer
   x = 510,852.13