Finding the Third Proportional to 149,424.75 and 322,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,424.75 : 322,456.50 = 322,456.50 : x
2. Step 2: Convert to fraction form
   149,424.75/322,456.50 = 322,456.50/x
3. Step 3: Cross multiply
   149,424.75x = 322,456.50 × 322,456.50
4. Step 4: Simplify right side
   149,424.75x = 103,978,194,392.25
5. Step 5: Solve for x
   x = 103,978,194,392.25/149,424.75
6. Step 6: Final answer
   x = 695,856.57