Finding the Third Proportional to 268,393.50 and 567,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,393.50 : 567,823.50 = 567,823.50 : x
2. Step 2: Convert to fraction form
   268,393.50/567,823.50 = 567,823.50/x
3. Step 3: Cross multiply
   268,393.50x = 567,823.50 × 567,823.50
4. Step 4: Simplify right side
   268,393.50x = 322,423,527,152.25
5. Step 5: Solve for x
   x = 322,423,527,152.25/268,393.50
6. Step 6: Final answer
   x = 1,201,309.00