Finding the Third Proportional to 152,064 and 323,802

Step by Step Solution

1. Step 1: Write the proportion equation
   152,064 : 323,802 = 323,802 : x
2. Step 2: Convert to fraction form
   152,064/323,802 = 323,802/x
3. Step 3: Cross multiply
   152,064x = 323,802 × 323,802
4. Step 4: Simplify right side
   152,064x = 104,847,735,204
5. Step 5: Solve for x
   x = 104,847,735,204/152,064
6. Step 6: Final answer
   x = 689,497.42