Finding the Third Proportional to 209,164.50 and 314,223

Step by Step Solution

1. Step 1: Write the proportion equation
   209,164.50 : 314,223 = 314,223 : x
2. Step 2: Convert to fraction form
   209,164.50/314,223 = 314,223/x
3. Step 3: Cross multiply
   209,164.50x = 314,223 × 314,223
4. Step 4: Simplify right side
   209,164.50x = 98,736,093,729
5. Step 5: Solve for x
   x = 98,736,093,729/209,164.50
6. Step 6: Final answer
   x = 472,049.96