Finding the Third Proportional to 335,767.50 and 465,372

Step by Step Solution

1. Step 1: Write the proportion equation
   335,767.50 : 465,372 = 465,372 : x
2. Step 2: Convert to fraction form
   335,767.50/465,372 = 465,372/x
3. Step 3: Cross multiply
   335,767.50x = 465,372 × 465,372
4. Step 4: Simplify right side
   335,767.50x = 216,571,098,384
5. Step 5: Solve for x
   x = 216,571,098,384/335,767.50
6. Step 6: Final answer
   x = 645,003.16