Finding the Third Proportional to 405,474 and 584,072

Step by Step Solution

1. Step 1: Write the proportion equation
   405,474 : 584,072 = 584,072 : x
2. Step 2: Convert to fraction form
   405,474/584,072 = 584,072/x
3. Step 3: Cross multiply
   405,474x = 584,072 × 584,072
4. Step 4: Simplify right side
   405,474x = 341,140,101,184
5. Step 5: Solve for x
   x = 341,140,101,184/405,474
6. Step 6: Final answer
   x = 841,336.56