Finding the Third Proportional to 164,578.50 and 364,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,578.50 : 364,147.50 = 364,147.50 : x
2. Step 2: Convert to fraction form
   164,578.50/364,147.50 = 364,147.50/x
3. Step 3: Cross multiply
   164,578.50x = 364,147.50 × 364,147.50
4. Step 4: Simplify right side
   164,578.50x = 132,603,401,756.25
5. Step 5: Solve for x
   x = 132,603,401,756.25/164,578.50
6. Step 6: Final answer
   x = 805,715.22