Finding the Third Proportional to 105,328 and 231,066

Step by Step Solution

1. Step 1: Write the proportion equation
   105,328 : 231,066 = 231,066 : x
2. Step 2: Convert to fraction form
   105,328/231,066 = 231,066/x
3. Step 3: Cross multiply
   105,328x = 231,066 × 231,066
4. Step 4: Simplify right side
   105,328x = 53,391,496,356
5. Step 5: Solve for x
   x = 53,391,496,356/105,328
6. Step 6: Final answer
   x = 506,906.96