Finding the Third Proportional to 152,406 and 319,756

Step by Step Solution

1. Step 1: Write the proportion equation
   152,406 : 319,756 = 319,756 : x
2. Step 2: Convert to fraction form
   152,406/319,756 = 319,756/x
3. Step 3: Cross multiply
   152,406x = 319,756 × 319,756
4. Step 4: Simplify right side
   152,406x = 102,243,899,536
5. Step 5: Solve for x
   x = 102,243,899,536/152,406
6. Step 6: Final answer
   x = 670,865.32