Finding the Third Proportional to 268,233.50 and 582,601

Step by Step Solution

1. Step 1: Write the proportion equation
   268,233.50 : 582,601 = 582,601 : x
2. Step 2: Convert to fraction form
   268,233.50/582,601 = 582,601/x
3. Step 3: Cross multiply
   268,233.50x = 582,601 × 582,601
4. Step 4: Simplify right side
   268,233.50x = 339,423,925,201
5. Step 5: Solve for x
   x = 339,423,925,201/268,233.50
6. Step 6: Final answer
   x = 1,265,404.68