Finding the Third Proportional to 107,658.50 and 231,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,658.50 : 231,769.50 = 231,769.50 : x
2. Step 2: Convert to fraction form
   107,658.50/231,769.50 = 231,769.50/x
3. Step 3: Cross multiply
   107,658.50x = 231,769.50 × 231,769.50
4. Step 4: Simplify right side
   107,658.50x = 53,717,101,130.25
5. Step 5: Solve for x
   x = 53,717,101,130.25/107,658.50
6. Step 6: Final answer
   x = 498,958.29