Finding the Third Proportional to 142,766 and 214,148

Step by Step Solution

1. Step 1: Write the proportion equation
   142,766 : 214,148 = 214,148 : x
2. Step 2: Convert to fraction form
   142,766/214,148 = 214,148/x
3. Step 3: Cross multiply
   142,766x = 214,148 × 214,148
4. Step 4: Simplify right side
   142,766x = 45,859,365,904
5. Step 5: Solve for x
   x = 45,859,365,904/142,766
6. Step 6: Final answer
   x = 321,220.50