Finding the Third Proportional to 309,114 and 659,054

Step by Step Solution

1. Step 1: Write the proportion equation
   309,114 : 659,054 = 659,054 : x
2. Step 2: Convert to fraction form
   309,114/659,054 = 659,054/x
3. Step 3: Cross multiply
   309,114x = 659,054 × 659,054
4. Step 4: Simplify right side
   309,114x = 434,352,174,916
5. Step 5: Solve for x
   x = 434,352,174,916/309,114
6. Step 6: Final answer
   x = 1,405,152.06