Finding the Third Proportional to 149,647.50 and 224,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,647.50 : 224,464.50 = 224,464.50 : x
2. Step 2: Convert to fraction form
   149,647.50/224,464.50 = 224,464.50/x
3. Step 3: Cross multiply
   149,647.50x = 224,464.50 × 224,464.50
4. Step 4: Simplify right side
   149,647.50x = 50,384,311,760.25
5. Step 5: Solve for x
   x = 50,384,311,760.25/149,647.50
6. Step 6: Final answer
   x = 336,686.63