Finding the Third Proportional to 106,600 and 231,632

Step by Step Solution

1. Step 1: Write the proportion equation
   106,600 : 231,632 = 231,632 : x
2. Step 2: Convert to fraction form
   106,600/231,632 = 231,632/x
3. Step 3: Cross multiply
   106,600x = 231,632 × 231,632
4. Step 4: Simplify right side
   106,600x = 53,653,383,424
5. Step 5: Solve for x
   x = 53,653,383,424/106,600
6. Step 6: Final answer
   x = 503,315.04