Finding the Third Proportional to 140,306 and 213,962

Step by Step Solution

1. Step 1: Write the proportion equation
   140,306 : 213,962 = 213,962 : x
2. Step 2: Convert to fraction form
   140,306/213,962 = 213,962/x
3. Step 3: Cross multiply
   140,306x = 213,962 × 213,962
4. Step 4: Simplify right side
   140,306x = 45,779,737,444
5. Step 5: Solve for x
   x = 45,779,737,444/140,306
6. Step 6: Final answer
   x = 326,284.96