Finding the Third Proportional to 149,829 and 321,892

Step by Step Solution

1. Step 1: Write the proportion equation
   149,829 : 321,892 = 321,892 : x
2. Step 2: Convert to fraction form
   149,829/321,892 = 321,892/x
3. Step 3: Cross multiply
   149,829x = 321,892 × 321,892
4. Step 4: Simplify right side
   149,829x = 103,614,459,664
5. Step 5: Solve for x
   x = 103,614,459,664/149,829
6. Step 6: Final answer
   x = 691,551.43