Finding the Third Proportional to 152,363 and 323,155

Step by Step Solution

1. Step 1: Write the proportion equation
   152,363 : 323,155 = 323,155 : x
2. Step 2: Convert to fraction form
   152,363/323,155 = 323,155/x
3. Step 3: Cross multiply
   152,363x = 323,155 × 323,155
4. Step 4: Simplify right side
   152,363x = 104,429,154,025
5. Step 5: Solve for x
   x = 104,429,154,025/152,363
6. Step 6: Final answer
   x = 685,397.07