Finding the Third Proportional to 149,871 and 321,060

Step by Step Solution

1. Step 1: Write the proportion equation
   149,871 : 321,060 = 321,060 : x
2. Step 2: Convert to fraction form
   149,871/321,060 = 321,060/x
3. Step 3: Cross multiply
   149,871x = 321,060 × 321,060
4. Step 4: Simplify right side
   149,871x = 103,079,523,600
5. Step 5: Solve for x
   x = 103,079,523,600/149,871
6. Step 6: Final answer
   x = 687,788.32