Finding the Third Proportional to 152,368 and 323,164

Step by Step Solution

1. Step 1: Write the proportion equation
   152,368 : 323,164 = 323,164 : x
2. Step 2: Convert to fraction form
   152,368/323,164 = 323,164/x
3. Step 3: Cross multiply
   152,368x = 323,164 × 323,164
4. Step 4: Simplify right side
   152,368x = 104,434,970,896
5. Step 5: Solve for x
   x = 104,434,970,896/152,368
6. Step 6: Final answer
   x = 685,412.76