Finding the Third Proportional to 243,853.50 and 586,002

Step by Step Solution

1. Step 1: Write the proportion equation
   243,853.50 : 586,002 = 586,002 : x
2. Step 2: Convert to fraction form
   243,853.50/586,002 = 586,002/x
3. Step 3: Cross multiply
   243,853.50x = 586,002 × 586,002
4. Step 4: Simplify right side
   243,853.50x = 343,398,344,004
5. Step 5: Solve for x
   x = 343,398,344,004/243,853.50
6. Step 6: Final answer
   x = 1,408,215.77