Finding the Third Proportional to 146,693 and 321,898

Step by Step Solution

1. Step 1: Write the proportion equation
   146,693 : 321,898 = 321,898 : x
2. Step 2: Convert to fraction form
   146,693/321,898 = 321,898/x
3. Step 3: Cross multiply
   146,693x = 321,898 × 321,898
4. Step 4: Simplify right side
   146,693x = 103,618,322,404
5. Step 5: Solve for x
   x = 103,618,322,404/146,693
6. Step 6: Final answer
   x = 706,361.74