Finding the Third Proportional to 146,577 and 222,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,577 : 222,781.50 = 222,781.50 : x
2. Step 2: Convert to fraction form
   146,577/222,781.50 = 222,781.50/x
3. Step 3: Cross multiply
   146,577x = 222,781.50 × 222,781.50
4. Step 4: Simplify right side
   146,577x = 49,631,596,742.25
5. Step 5: Solve for x
   x = 49,631,596,742.25/146,577
6. Step 6: Final answer
   x = 338,604.26