Finding the Third Proportional to 204,584 and 314,008

Step by Step Solution

1. Step 1: Write the proportion equation
   204,584 : 314,008 = 314,008 : x
2. Step 2: Convert to fraction form
   204,584/314,008 = 314,008/x
3. Step 3: Cross multiply
   204,584x = 314,008 × 314,008
4. Step 4: Simplify right side
   204,584x = 98,601,024,064
5. Step 5: Solve for x
   x = 98,601,024,064/204,584
6. Step 6: Final answer
   x = 481,958.63