Finding the Third Proportional to 101,684 and 222,988

Step by Step Solution

1. Step 1: Write the proportion equation
   101,684 : 222,988 = 222,988 : x
2. Step 2: Convert to fraction form
   101,684/222,988 = 222,988/x
3. Step 3: Cross multiply
   101,684x = 222,988 × 222,988
4. Step 4: Simplify right side
   101,684x = 49,723,648,144
5. Step 5: Solve for x
   x = 49,723,648,144/101,684
6. Step 6: Final answer
   x = 489,001.69