Finding the Third Proportional to 209,084 and 314,096

Step by Step Solution

1. Step 1: Write the proportion equation
   209,084 : 314,096 = 314,096 : x
2. Step 2: Convert to fraction form
   209,084/314,096 = 314,096/x
3. Step 3: Cross multiply
   209,084x = 314,096 × 314,096
4. Step 4: Simplify right side
   209,084x = 98,656,297,216
5. Step 5: Solve for x
   x = 98,656,297,216/209,084
6. Step 6: Final answer
   x = 471,850.06