Finding the Third Proportional to 205,197 and 327,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,197 : 327,811.50 = 327,811.50 : x
2. Step 2: Convert to fraction form
   205,197/327,811.50 = 327,811.50/x
3. Step 3: Cross multiply
   205,197x = 327,811.50 × 327,811.50
4. Step 4: Simplify right side
   205,197x = 107,460,379,532.25
5. Step 5: Solve for x
   x = 107,460,379,532.25/205,197
6. Step 6: Final answer
   x = 523,693.72