Finding the Third Proportional to 147,396 and 321,780

Step by Step Solution

1. Step 1: Write the proportion equation
   147,396 : 321,780 = 321,780 : x
2. Step 2: Convert to fraction form
   147,396/321,780 = 321,780/x
3. Step 3: Cross multiply
   147,396x = 321,780 × 321,780
4. Step 4: Simplify right side
   147,396x = 103,542,368,400
5. Step 5: Solve for x
   x = 103,542,368,400/147,396
6. Step 6: Final answer
   x = 702,477.46