Finding the Third Proportional to 147,400 and 321,788

Step by Step Solution

1. Step 1: Write the proportion equation
   147,400 : 321,788 = 321,788 : x
2. Step 2: Convert to fraction form
   147,400/321,788 = 321,788/x
3. Step 3: Cross multiply
   147,400x = 321,788 × 321,788
4. Step 4: Simplify right side
   147,400x = 103,547,516,944
5. Step 5: Solve for x
   x = 103,547,516,944/147,400
6. Step 6: Final answer
   x = 702,493.33