Finding the Third Proportional to 70,217 and 146,268

Step by Step Solution

1. Step 1: Write the proportion equation
   70,217 : 146,268 = 146,268 : x
2. Step 2: Convert to fraction form
   70,217/146,268 = 146,268/x
3. Step 3: Cross multiply
   70,217x = 146,268 × 146,268
4. Step 4: Simplify right side
   70,217x = 21,394,327,824
5. Step 5: Solve for x
   x = 21,394,327,824/70,217
6. Step 6: Final answer
   x = 304,688.72