Finding the Third Proportional to 309,108 and 659,046

Step by Step Solution

1. Step 1: Write the proportion equation
   309,108 : 659,046 = 659,046 : x
2. Step 2: Convert to fraction form
   309,108/659,046 = 659,046/x
3. Step 3: Cross multiply
   309,108x = 659,046 × 659,046
4. Step 4: Simplify right side
   309,108x = 434,341,630,116
5. Step 5: Solve for x
   x = 434,341,630,116/309,108
6. Step 6: Final answer
   x = 1,405,145.22