Finding the Third Proportional to 205,359 and 413,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,359 : 413,767.50 = 413,767.50 : x
2. Step 2: Convert to fraction form
   205,359/413,767.50 = 413,767.50/x
3. Step 3: Cross multiply
   205,359x = 413,767.50 × 413,767.50
4. Step 4: Simplify right side
   205,359x = 171,203,544,056.25
5. Step 5: Solve for x
   x = 171,203,544,056.25/205,359
6. Step 6: Final answer
   x = 833,679.28