Finding the Third Proportional to 146,948 and 322,040

Step by Step Solution

1. Step 1: Write the proportion equation
   146,948 : 322,040 = 322,040 : x
2. Step 2: Convert to fraction form
   146,948/322,040 = 322,040/x
3. Step 3: Cross multiply
   146,948x = 322,040 × 322,040
4. Step 4: Simplify right side
   146,948x = 103,709,761,600
5. Step 5: Solve for x
   x = 103,709,761,600/146,948
6. Step 6: Final answer
   x = 705,758.24