Finding the Third Proportional to 142,146 and 221,771.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,146 : 221,771.25 = 221,771.25 : x
2. Step 2: Convert to fraction form
   142,146/221,771.25 = 221,771.25/x
3. Step 3: Cross multiply
   142,146x = 221,771.25 × 221,771.25
4. Step 4: Simplify right side
   142,146x = 49,182,487,326.56
5. Step 5: Solve for x
   x = 49,182,487,326.56/142,146
6. Step 6: Final answer
   x = 345,999.80