Finding the Third Proportional to 204,705 and 301,205.25

Step by Step Solution

1. Step 1: Write the proportion equation
   204,705 : 301,205.25 = 301,205.25 : x
2. Step 2: Convert to fraction form
   204,705/301,205.25 = 301,205.25/x
3. Step 3: Cross multiply
   204,705x = 301,205.25 × 301,205.25
4. Step 4: Simplify right side
   204,705x = 90,724,602,627.56
5. Step 5: Solve for x
   x = 90,724,602,627.56/204,705
6. Step 6: Final answer
   x = 443,196.81