Finding the Third Proportional to 147,365 and 321,714

Step by Step Solution

1. Step 1: Write the proportion equation
   147,365 : 321,714 = 321,714 : x
2. Step 2: Convert to fraction form
   147,365/321,714 = 321,714/x
3. Step 3: Cross multiply
   147,365x = 321,714 × 321,714
4. Step 4: Simplify right side
   147,365x = 103,499,897,796
5. Step 5: Solve for x
   x = 103,499,897,796/147,365
6. Step 6: Final answer
   x = 702,337.04