Finding the Third Proportional to 152,025 and 323,736

Step by Step Solution

1. Step 1: Write the proportion equation
   152,025 : 323,736 = 323,736 : x
2. Step 2: Convert to fraction form
   152,025/323,736 = 323,736/x
3. Step 3: Cross multiply
   152,025x = 323,736 × 323,736
4. Step 4: Simplify right side
   152,025x = 104,804,997,696
5. Step 5: Solve for x
   x = 104,804,997,696/152,025
6. Step 6: Final answer
   x = 689,393.18