Finding the Third Proportional to 152,384 and 323,200

Step by Step Solution

1. Step 1: Write the proportion equation
   152,384 : 323,200 = 323,200 : x
2. Step 2: Convert to fraction form
   152,384/323,200 = 323,200/x
3. Step 3: Cross multiply
   152,384x = 323,200 × 323,200
4. Step 4: Simplify right side
   152,384x = 104,458,240,000
5. Step 5: Solve for x
   x = 104,458,240,000/152,384
6. Step 6: Final answer
   x = 685,493.49