Finding the Third Proportional to 149,578.50 and 322,638

Step by Step Solution

1. Step 1: Write the proportion equation
   149,578.50 : 322,638 = 322,638 : x
2. Step 2: Convert to fraction form
   149,578.50/322,638 = 322,638/x
3. Step 3: Cross multiply
   149,578.50x = 322,638 × 322,638
4. Step 4: Simplify right side
   149,578.50x = 104,095,279,044
5. Step 5: Solve for x
   x = 104,095,279,044/149,578.50
6. Step 6: Final answer
   x = 695,924.07