Finding the Third Proportional to 147,567.50 and 322,661

Step by Step Solution

1. Step 1: Write the proportion equation
   147,567.50 : 322,661 = 322,661 : x
2. Step 2: Convert to fraction form
   147,567.50/322,661 = 322,661/x
3. Step 3: Cross multiply
   147,567.50x = 322,661 × 322,661
4. Step 4: Simplify right side
   147,567.50x = 104,110,120,921
5. Step 5: Solve for x
   x = 104,110,120,921/147,567.50
6. Step 6: Final answer
   x = 705,508.47