Finding the Third Proportional to 203,935.50 and 413,566

Step by Step Solution

1. Step 1: Write the proportion equation
   203,935.50 : 413,566 = 413,566 : x
2. Step 2: Convert to fraction form
   203,935.50/413,566 = 413,566/x
3. Step 3: Cross multiply
   203,935.50x = 413,566 × 413,566
4. Step 4: Simplify right side
   203,935.50x = 171,036,836,356
5. Step 5: Solve for x
   x = 171,036,836,356/203,935.50
6. Step 6: Final answer
   x = 838,681.04