Finding the Third Proportional to 209,175 and 314,238

Step by Step Solution

1. Step 1: Write the proportion equation
   209,175 : 314,238 = 314,238 : x
2. Step 2: Convert to fraction form
   209,175/314,238 = 314,238/x
3. Step 3: Cross multiply
   209,175x = 314,238 × 314,238
4. Step 4: Simplify right side
   209,175x = 98,745,520,644
5. Step 5: Solve for x
   x = 98,745,520,644/209,175
6. Step 6: Final answer
   x = 472,071.33