Finding the Third Proportional to 149,359.50 and 322,569

Step by Step Solution

1. Step 1: Write the proportion equation
   149,359.50 : 322,569 = 322,569 : x
2. Step 2: Convert to fraction form
   149,359.50/322,569 = 322,569/x
3. Step 3: Cross multiply
   149,359.50x = 322,569 × 322,569
4. Step 4: Simplify right side
   149,359.50x = 104,050,759,761
5. Step 5: Solve for x
   x = 104,050,759,761/149,359.50
6. Step 6: Final answer
   x = 696,646.41