Finding the Third Proportional to 203,934.50 and 413,564

Step by Step Solution

1. Step 1: Write the proportion equation
   203,934.50 : 413,564 = 413,564 : x
2. Step 2: Convert to fraction form
   203,934.50/413,564 = 413,564/x
3. Step 3: Cross multiply
   203,934.50x = 413,564 × 413,564
4. Step 4: Simplify right side
   203,934.50x = 171,035,182,096
5. Step 5: Solve for x
   x = 171,035,182,096/203,934.50
6. Step 6: Final answer
   x = 838,677.04