Finding the Third Proportional to 209,766 and 314,670

Step by Step Solution

1. Step 1: Write the proportion equation
   209,766 : 314,670 = 314,670 : x
2. Step 2: Convert to fraction form
   209,766/314,670 = 314,670/x
3. Step 3: Cross multiply
   209,766x = 314,670 × 314,670
4. Step 4: Simplify right side
   209,766x = 99,017,208,900
5. Step 5: Solve for x
   x = 99,017,208,900/209,766
6. Step 6: Final answer
   x = 472,036.50