Finding the Third Proportional to 309,116 and 659,058

Step by Step Solution

1. Step 1: Write the proportion equation
   309,116 : 659,058 = 659,058 : x
2. Step 2: Convert to fraction form
   309,116/659,058 = 659,058/x
3. Step 3: Cross multiply
   309,116x = 659,058 × 659,058
4. Step 4: Simplify right side
   309,116x = 434,357,447,364
5. Step 5: Solve for x
   x = 434,357,447,364/309,116
6. Step 6: Final answer
   x = 1,405,160.03