Finding the Third Proportional to 107,530 and 233,462

Step by Step Solution

1. Step 1: Write the proportion equation
   107,530 : 233,462 = 233,462 : x
2. Step 2: Convert to fraction form
   107,530/233,462 = 233,462/x
3. Step 3: Cross multiply
   107,530x = 233,462 × 233,462
4. Step 4: Simplify right side
   107,530x = 54,504,505,444
5. Step 5: Solve for x
   x = 54,504,505,444/107,530
6. Step 6: Final answer
   x = 506,877.20