Finding the Third Proportional to 390,876 and 584,004

Step by Step Solution

1. Step 1: Write the proportion equation
   390,876 : 584,004 = 584,004 : x
2. Step 2: Convert to fraction form
   390,876/584,004 = 584,004/x
3. Step 3: Cross multiply
   390,876x = 584,004 × 584,004
4. Step 4: Simplify right side
   390,876x = 341,060,672,016
5. Step 5: Solve for x
   x = 341,060,672,016/390,876
6. Step 6: Final answer
   x = 872,554.65