Finding the Third Proportional to 140,032 and 212,636

Step by Step Solution

1. Step 1: Write the proportion equation
   140,032 : 212,636 = 212,636 : x
2. Step 2: Convert to fraction form
   140,032/212,636 = 212,636/x
3. Step 3: Cross multiply
   140,032x = 212,636 × 212,636
4. Step 4: Simplify right side
   140,032x = 45,214,068,496
5. Step 5: Solve for x
   x = 45,214,068,496/140,032
6. Step 6: Final answer
   x = 322,883.83