Finding the Third Proportional to 386,589 and 784,050

Step by Step Solution

1. Step 1: Write the proportion equation
   386,589 : 784,050 = 784,050 : x
2. Step 2: Convert to fraction form
   386,589/784,050 = 784,050/x
3. Step 3: Cross multiply
   386,589x = 784,050 × 784,050
4. Step 4: Simplify right side
   386,589x = 614,734,402,500
5. Step 5: Solve for x
   x = 614,734,402,500/386,589
6. Step 6: Final answer
   x = 1,590,149.75