Finding the Third Proportional to 231,049 and 338,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,049 : 338,563.50 = 338,563.50 : x
2. Step 2: Convert to fraction form
   231,049/338,563.50 = 338,563.50/x
3. Step 3: Cross multiply
   231,049x = 338,563.50 × 338,563.50
4. Step 4: Simplify right side
   231,049x = 114,625,243,532.25
5. Step 5: Solve for x
   x = 114,625,243,532.25/231,049
6. Step 6: Final answer
   x = 496,107.94