Finding the Third Proportional to 204,885 and 307,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,885 : 307,921.50 = 307,921.50 : x
2. Step 2: Convert to fraction form
   204,885/307,921.50 = 307,921.50/x
3. Step 3: Cross multiply
   204,885x = 307,921.50 × 307,921.50
4. Step 4: Simplify right side
   204,885x = 94,815,650,162.25
5. Step 5: Solve for x
   x = 94,815,650,162.25/204,885
6. Step 6: Final answer
   x = 462,774.97