Finding the Third Proportional to 204,156 and 290,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,156 : 290,353.50 = 290,353.50 : x
2. Step 2: Convert to fraction form
   204,156/290,353.50 = 290,353.50/x
3. Step 3: Cross multiply
   204,156x = 290,353.50 × 290,353.50
4. Step 4: Simplify right side
   204,156x = 84,305,154,962.25
5. Step 5: Solve for x
   x = 84,305,154,962.25/204,156
6. Step 6: Final answer
   x = 412,944.78