Finding the Third Proportional to 404,142 and 588,444

Step by Step Solution

1. Step 1: Write the proportion equation
   404,142 : 588,444 = 588,444 : x
2. Step 2: Convert to fraction form
   404,142/588,444 = 588,444/x
3. Step 3: Cross multiply
   404,142x = 588,444 × 588,444
4. Step 4: Simplify right side
   404,142x = 346,266,341,136
5. Step 5: Solve for x
   x = 346,266,341,136/404,142
6. Step 6: Final answer
   x = 856,793.75