Finding the Third Proportional to 386,586 and 580,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,586 : 580,594.50 = 580,594.50 : x
2. Step 2: Convert to fraction form
   386,586/580,594.50 = 580,594.50/x
3. Step 3: Cross multiply
   386,586x = 580,594.50 × 580,594.50
4. Step 4: Simplify right side
   386,586x = 337,089,973,430.25
5. Step 5: Solve for x
   x = 337,089,973,430.25/386,586
6. Step 6: Final answer
   x = 871,966.32