Finding the Third Proportional to 206,410.50 and 290,670

Step by Step Solution

1. Step 1: Write the proportion equation
   206,410.50 : 290,670 = 290,670 : x
2. Step 2: Convert to fraction form
   206,410.50/290,670 = 290,670/x
3. Step 3: Cross multiply
   206,410.50x = 290,670 × 290,670
4. Step 4: Simplify right side
   206,410.50x = 84,489,048,900
5. Step 5: Solve for x
   x = 84,489,048,900/206,410.50
6. Step 6: Final answer
   x = 409,325.34