Finding the Third Proportional to 148,766 and 327,016

Step by Step Solution

1. Step 1: Write the proportion equation
   148,766 : 327,016 = 327,016 : x
2. Step 2: Convert to fraction form
   148,766/327,016 = 327,016/x
3. Step 3: Cross multiply
   148,766x = 327,016 × 327,016
4. Step 4: Simplify right side
   148,766x = 106,939,464,256
5. Step 5: Solve for x
   x = 106,939,464,256/148,766
6. Step 6: Final answer
   x = 718,843.45