Finding the Third Proportional to 185,571 and 413,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,571 : 413,788.50 = 413,788.50 : x
2. Step 2: Convert to fraction form
   185,571/413,788.50 = 413,788.50/x
3. Step 3: Cross multiply
   185,571x = 413,788.50 × 413,788.50
4. Step 4: Simplify right side
   185,571x = 171,220,922,732.25
5. Step 5: Solve for x
   x = 171,220,922,732.25/185,571
6. Step 6: Final answer
   x = 922,670.69