Finding the Third Proportional to 140,414 and 229,251

Step by Step Solution

1. Step 1: Write the proportion equation
   140,414 : 229,251 = 229,251 : x
2. Step 2: Convert to fraction form
   140,414/229,251 = 229,251/x
3. Step 3: Cross multiply
   140,414x = 229,251 × 229,251
4. Step 4: Simplify right side
   140,414x = 52,556,021,001
5. Step 5: Solve for x
   x = 52,556,021,001/140,414
6. Step 6: Final answer
   x = 374,293.31