Finding the Third Proportional to 309,126 and 659,076

Step by Step Solution

1. Step 1: Write the proportion equation
   309,126 : 659,076 = 659,076 : x
2. Step 2: Convert to fraction form
   309,126/659,076 = 659,076/x
3. Step 3: Cross multiply
   309,126x = 659,076 × 659,076
4. Step 4: Simplify right side
   309,126x = 434,381,173,776
5. Step 5: Solve for x
   x = 434,381,173,776/309,126
6. Step 6: Final answer
   x = 1,405,191.33