Finding the Third Proportional to 152,633 and 309,406

Step by Step Solution

1. Step 1: Write the proportion equation
   152,633 : 309,406 = 309,406 : x
2. Step 2: Convert to fraction form
   152,633/309,406 = 309,406/x
3. Step 3: Cross multiply
   152,633x = 309,406 × 309,406
4. Step 4: Simplify right side
   152,633x = 95,732,072,836
5. Step 5: Solve for x
   x = 95,732,072,836/152,633
6. Step 6: Final answer
   x = 627,204.29