Finding the Third Proportional to 309,120 and 659,064

Step by Step Solution

1. Step 1: Write the proportion equation
   309,120 : 659,064 = 659,064 : x
2. Step 2: Convert to fraction form
   309,120/659,064 = 659,064/x
3. Step 3: Cross multiply
   309,120x = 659,064 × 659,064
4. Step 4: Simplify right side
   309,120x = 434,365,356,096
5. Step 5: Solve for x
   x = 434,365,356,096/309,120
6. Step 6: Final answer
   x = 1,405,167.43