Finding the Third Proportional to 107,748 and 231,372

Step by Step Solution

1. Step 1: Write the proportion equation
   107,748 : 231,372 = 231,372 : x
2. Step 2: Convert to fraction form
   107,748/231,372 = 231,372/x
3. Step 3: Cross multiply
   107,748x = 231,372 × 231,372
4. Step 4: Simplify right side
   107,748x = 53,533,002,384
5. Step 5: Solve for x
   x = 53,533,002,384/107,748
6. Step 6: Final answer
   x = 496,835.23