Finding the Third Proportional to 404,773 and 584,776

Step by Step Solution

1. Step 1: Write the proportion equation
   404,773 : 584,776 = 584,776 : x
2. Step 2: Convert to fraction form
   404,773/584,776 = 584,776/x
3. Step 3: Cross multiply
   404,773x = 584,776 × 584,776
4. Step 4: Simplify right side
   404,773x = 341,962,970,176
5. Step 5: Solve for x
   x = 341,962,970,176/404,773
6. Step 6: Final answer
   x = 844,826.53