Finding the Third Proportional to 406,096 and 595,290

Step by Step Solution

1. Step 1: Write the proportion equation
   406,096 : 595,290 = 595,290 : x
2. Step 2: Convert to fraction form
   406,096/595,290 = 595,290/x
3. Step 3: Cross multiply
   406,096x = 595,290 × 595,290
4. Step 4: Simplify right side
   406,096x = 354,370,184,100
5. Step 5: Solve for x
   x = 354,370,184,100/406,096
6. Step 6: Final answer
   x = 872,626.63