Finding the Third Proportional to 146,577 and 224,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,577 : 224,605.50 = 224,605.50 : x
2. Step 2: Convert to fraction form
   146,577/224,605.50 = 224,605.50/x
3. Step 3: Cross multiply
   146,577x = 224,605.50 × 224,605.50
4. Step 4: Simplify right side
   146,577x = 50,447,630,630.25
5. Step 5: Solve for x
   x = 50,447,630,630.25/146,577
6. Step 6: Final answer
   x = 344,171.53