Finding the Third Proportional to 107,654 and 231,762

Step by Step Solution

1. Step 1: Write the proportion equation
   107,654 : 231,762 = 231,762 : x
2. Step 2: Convert to fraction form
   107,654/231,762 = 231,762/x
3. Step 3: Cross multiply
   107,654x = 231,762 × 231,762
4. Step 4: Simplify right side
   107,654x = 53,713,624,644
5. Step 5: Solve for x
   x = 53,713,624,644/107,654
6. Step 6: Final answer
   x = 498,946.85