Finding the Third Proportional to 107,426 and 231,934

Step by Step Solution

1. Step 1: Write the proportion equation
   107,426 : 231,934 = 231,934 : x
2. Step 2: Convert to fraction form
   107,426/231,934 = 231,934/x
3. Step 3: Cross multiply
   107,426x = 231,934 × 231,934
4. Step 4: Simplify right side
   107,426x = 53,793,380,356
5. Step 5: Solve for x
   x = 53,793,380,356/107,426
6. Step 6: Final answer
   x = 500,748.24