Finding the Third Proportional to 261,993 and 392,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,993 : 392,584.50 = 392,584.50 : x
2. Step 2: Convert to fraction form
   261,993/392,584.50 = 392,584.50/x
3. Step 3: Cross multiply
   261,993x = 392,584.50 × 392,584.50
4. Step 4: Simplify right side
   261,993x = 154,122,589,640.25
5. Step 5: Solve for x
   x = 154,122,589,640.25/261,993
6. Step 6: Final answer
   x = 588,269.88