Finding the Third Proportional to 231,340.50 and 338,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,340.50 : 338,323.50 = 338,323.50 : x
2. Step 2: Convert to fraction form
   231,340.50/338,323.50 = 338,323.50/x
3. Step 3: Cross multiply
   231,340.50x = 338,323.50 × 338,323.50
4. Step 4: Simplify right side
   231,340.50x = 114,462,790,652.25
5. Step 5: Solve for x
   x = 114,462,790,652.25/231,340.50
6. Step 6: Final answer
   x = 494,780.60