Finding the Third Proportional to 150,684 and 331,501

Step by Step Solution

1. Step 1: Write the proportion equation
   150,684 : 331,501 = 331,501 : x
2. Step 2: Convert to fraction form
   150,684/331,501 = 331,501/x
3. Step 3: Cross multiply
   150,684x = 331,501 × 331,501
4. Step 4: Simplify right side
   150,684x = 109,892,913,001
5. Step 5: Solve for x
   x = 109,892,913,001/150,684
6. Step 6: Final answer
   x = 729,293.84