Finding the Third Proportional to 152,676 and 309,664

Step by Step Solution

1. Step 1: Write the proportion equation
   152,676 : 309,664 = 309,664 : x
2. Step 2: Convert to fraction form
   152,676/309,664 = 309,664/x
3. Step 3: Cross multiply
   152,676x = 309,664 × 309,664
4. Step 4: Simplify right side
   152,676x = 95,891,792,896
5. Step 5: Solve for x
   x = 95,891,792,896/152,676
6. Step 6: Final answer
   x = 628,073.78