Finding the Third Proportional to 404,769 and 584,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,769 : 584,770.50 = 584,770.50 : x
2. Step 2: Convert to fraction form
   404,769/584,770.50 = 584,770.50/x
3. Step 3: Cross multiply
   404,769x = 584,770.50 × 584,770.50
4. Step 4: Simplify right side
   404,769x = 341,956,537,670.25
5. Step 5: Solve for x
   x = 341,956,537,670.25/404,769
6. Step 6: Final answer
   x = 844,818.99