Finding the Third Proportional to 107,732 and 231,340

Step by Step Solution

1. Step 1: Write the proportion equation
   107,732 : 231,340 = 231,340 : x
2. Step 2: Convert to fraction form
   107,732/231,340 = 231,340/x
3. Step 3: Cross multiply
   107,732x = 231,340 × 231,340
4. Step 4: Simplify right side
   107,732x = 53,518,195,600
5. Step 5: Solve for x
   x = 53,518,195,600/107,732
6. Step 6: Final answer
   x = 496,771.58