Finding the Third Proportional to 147,744 and 323,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,744 : 323,797.50 = 323,797.50 : x
2. Step 2: Convert to fraction form
   147,744/323,797.50 = 323,797.50/x
3. Step 3: Cross multiply
   147,744x = 323,797.50 × 323,797.50
4. Step 4: Simplify right side
   147,744x = 104,844,821,006.25
5. Step 5: Solve for x
   x = 104,844,821,006.25/147,744
6. Step 6: Final answer
   x = 709,638.44