Finding the Third Proportional to 201,665 and 254,856

Step by Step Solution

1. Step 1: Write the proportion equation
   201,665 : 254,856 = 254,856 : x
2. Step 2: Convert to fraction form
   201,665/254,856 = 254,856/x
3. Step 3: Cross multiply
   201,665x = 254,856 × 254,856
4. Step 4: Simplify right side
   201,665x = 64,951,580,736
5. Step 5: Solve for x
   x = 64,951,580,736/201,665
6. Step 6: Final answer
   x = 322,076.62