Finding the Third Proportional to 231,825 and 508,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,825 : 508,483.50 = 508,483.50 : x
2. Step 2: Convert to fraction form
   231,825/508,483.50 = 508,483.50/x
3. Step 3: Cross multiply
   231,825x = 508,483.50 × 508,483.50
4. Step 4: Simplify right side
   231,825x = 258,555,469,772.25
5. Step 5: Solve for x
   x = 258,555,469,772.25/231,825
6. Step 6: Final answer
   x = 1,115,304.52