Finding the Third Proportional to 149,643.50 and 323,025

Step by Step Solution

1. Step 1: Write the proportion equation
   149,643.50 : 323,025 = 323,025 : x
2. Step 2: Convert to fraction form
   149,643.50/323,025 = 323,025/x
3. Step 3: Cross multiply
   149,643.50x = 323,025 × 323,025
4. Step 4: Simplify right side
   149,643.50x = 104,345,150,625
5. Step 5: Solve for x
   x = 104,345,150,625/149,643.50
6. Step 6: Final answer
   x = 697,291.57