Finding the Third Proportional to 419,193 and 592,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,193 : 592,582.50 = 592,582.50 : x
2. Step 2: Convert to fraction form
   419,193/592,582.50 = 592,582.50/x
3. Step 3: Cross multiply
   419,193x = 592,582.50 × 592,582.50
4. Step 4: Simplify right side
   419,193x = 351,154,019,306.25
5. Step 5: Solve for x
   x = 351,154,019,306.25/419,193
6. Step 6: Final answer
   x = 837,690.56