Finding the Third Proportional to 149,888.50 and 321,144

Step by Step Solution

1. Step 1: Write the proportion equation
   149,888.50 : 321,144 = 321,144 : x
2. Step 2: Convert to fraction form
   149,888.50/321,144 = 321,144/x
3. Step 3: Cross multiply
   149,888.50x = 321,144 × 321,144
4. Step 4: Simplify right side
   149,888.50x = 103,133,468,736
5. Step 5: Solve for x
   x = 103,133,468,736/149,888.50
6. Step 6: Final answer
   x = 688,067.92