Finding the Third Proportional to 388,404 and 586,166

Step by Step Solution

1. Step 1: Write the proportion equation
   388,404 : 586,166 = 586,166 : x
2. Step 2: Convert to fraction form
   388,404/586,166 = 586,166/x
3. Step 3: Cross multiply
   388,404x = 586,166 × 586,166
4. Step 4: Simplify right side
   388,404x = 343,590,579,556
5. Step 5: Solve for x
   x = 343,590,579,556/388,404
6. Step 6: Final answer
   x = 884,621.63