Finding the Third Proportional to 149,923.50 and 322,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,923.50 : 322,078.50 = 322,078.50 : x
2. Step 2: Convert to fraction form
   149,923.50/322,078.50 = 322,078.50/x
3. Step 3: Cross multiply
   149,923.50x = 322,078.50 × 322,078.50
4. Step 4: Simplify right side
   149,923.50x = 103,734,560,162.25
5. Step 5: Solve for x
   x = 103,734,560,162.25/149,923.50
6. Step 6: Final answer
   x = 691,916.61