Finding the Third Proportional to 140,434 and 212,164

Step by Step Solution

1. Step 1: Write the proportion equation
   140,434 : 212,164 = 212,164 : x
2. Step 2: Convert to fraction form
   140,434/212,164 = 212,164/x
3. Step 3: Cross multiply
   140,434x = 212,164 × 212,164
4. Step 4: Simplify right side
   140,434x = 45,013,562,896
5. Step 5: Solve for x
   x = 45,013,562,896/140,434
6. Step 6: Final answer
   x = 320,531.80