Finding the Third Proportional to 144,226 and 215,142

Step by Step Solution

1. Step 1: Write the proportion equation
   144,226 : 215,142 = 215,142 : x
2. Step 2: Convert to fraction form
   144,226/215,142 = 215,142/x
3. Step 3: Cross multiply
   144,226x = 215,142 × 215,142
4. Step 4: Simplify right side
   144,226x = 46,286,080,164
5. Step 5: Solve for x
   x = 46,286,080,164/144,226
6. Step 6: Final answer
   x = 320,927.43