Finding the Third Proportional to 150,051.75 and 322,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,051.75 : 322,144.50 = 322,144.50 : x
2. Step 2: Convert to fraction form
   150,051.75/322,144.50 = 322,144.50/x
3. Step 3: Cross multiply
   150,051.75x = 322,144.50 × 322,144.50
4. Step 4: Simplify right side
   150,051.75x = 103,777,078,880.25
5. Step 5: Solve for x
   x = 103,777,078,880.25/150,051.75
6. Step 6: Final answer
   x = 691,608.59