Finding the Third Proportional to 204,012 and 306,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,012 : 306,196.50 = 306,196.50 : x
2. Step 2: Convert to fraction form
   204,012/306,196.50 = 306,196.50/x
3. Step 3: Cross multiply
   204,012x = 306,196.50 × 306,196.50
4. Step 4: Simplify right side
   204,012x = 93,756,296,612.25
5. Step 5: Solve for x
   x = 93,756,296,612.25/204,012
6. Step 6: Final answer
   x = 459,562.66