Finding the Third Proportional to 142,800 and 214,092

Step by Step Solution

1. Step 1: Write the proportion equation
   142,800 : 214,092 = 214,092 : x
2. Step 2: Convert to fraction form
   142,800/214,092 = 214,092/x
3. Step 3: Cross multiply
   142,800x = 214,092 × 214,092
4. Step 4: Simplify right side
   142,800x = 45,835,384,464
5. Step 5: Solve for x
   x = 45,835,384,464/142,800
6. Step 6: Final answer
   x = 320,976.08