Finding the Third Proportional to 142,193 and 214,801.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142,193 : 214,801.38 = 214,801.38 : x
2. Step 2: Convert to fraction form
   142,193/214,801.38 = 214,801.38/x
3. Step 3: Cross multiply
   142,193x = 214,801.38 × 214,801.38
4. Step 4: Simplify right side
   142,193x = 46,139,630,701.89
5. Step 5: Solve for x
   x = 46,139,630,701.89/142,193
6. Step 6: Final answer
   x = 324,485.95