Finding the Third Proportional to 152,361 and 323,151

Step by Step Solution

1. Step 1: Write the proportion equation
   152,361 : 323,151 = 323,151 : x
2. Step 2: Convert to fraction form
   152,361/323,151 = 323,151/x
3. Step 3: Cross multiply
   152,361x = 323,151 × 323,151
4. Step 4: Simplify right side
   152,361x = 104,426,568,801
5. Step 5: Solve for x
   x = 104,426,568,801/152,361
6. Step 6: Final answer
   x = 685,389.10