Finding the Third Proportional to 152,592 and 322,336

Step by Step Solution

1. Step 1: Write the proportion equation
   152,592 : 322,336 = 322,336 : x
2. Step 2: Convert to fraction form
   152,592/322,336 = 322,336/x
3. Step 3: Cross multiply
   152,592x = 322,336 × 322,336
4. Step 4: Simplify right side
   152,592x = 103,900,496,896
5. Step 5: Solve for x
   x = 103,900,496,896/152,592
6. Step 6: Final answer
   x = 680,903.96