Finding the Third Proportional to 147,412 and 322,404

Step by Step Solution

1. Step 1: Write the proportion equation
   147,412 : 322,404 = 322,404 : x
2. Step 2: Convert to fraction form
   147,412/322,404 = 322,404/x
3. Step 3: Cross multiply
   147,412x = 322,404 × 322,404
4. Step 4: Simplify right side
   147,412x = 103,944,339,216
5. Step 5: Solve for x
   x = 103,944,339,216/147,412
6. Step 6: Final answer
   x = 705,128.07