Finding the Third Proportional to 309,110 and 659,047

Step by Step Solution

1. Step 1: Write the proportion equation
   309,110 : 659,047 = 659,047 : x
2. Step 2: Convert to fraction form
   309,110/659,047 = 659,047/x
3. Step 3: Cross multiply
   309,110x = 659,047 × 659,047
4. Step 4: Simplify right side
   309,110x = 434,342,948,209
5. Step 5: Solve for x
   x = 434,342,948,209/309,110
6. Step 6: Final answer
   x = 1,405,140.40