Finding the Third Proportional to 140,036 and 212,642

Step by Step Solution

1. Step 1: Write the proportion equation
   140,036 : 212,642 = 212,642 : x
2. Step 2: Convert to fraction form
   140,036/212,642 = 212,642/x
3. Step 3: Cross multiply
   140,036x = 212,642 × 212,642
4. Step 4: Simplify right side
   140,036x = 45,216,620,164
5. Step 5: Solve for x
   x = 45,216,620,164/140,036
6. Step 6: Final answer
   x = 322,892.83