Finding the Third Proportional to 149,544 and 321,012

Step by Step Solution

1. Step 1: Write the proportion equation
   149,544 : 321,012 = 321,012 : x
2. Step 2: Convert to fraction form
   149,544/321,012 = 321,012/x
3. Step 3: Cross multiply
   149,544x = 321,012 × 321,012
4. Step 4: Simplify right side
   149,544x = 103,048,704,144
5. Step 5: Solve for x
   x = 103,048,704,144/149,544
6. Step 6: Final answer
   x = 689,086.18