Finding the Third Proportional to 140,429 and 212,426

Step by Step Solution

1. Step 1: Write the proportion equation
   140,429 : 212,426 = 212,426 : x
2. Step 2: Convert to fraction form
   140,429/212,426 = 212,426/x
3. Step 3: Cross multiply
   140,429x = 212,426 × 212,426
4. Step 4: Simplify right side
   140,429x = 45,124,805,476
5. Step 5: Solve for x
   x = 45,124,805,476/140,429
6. Step 6: Final answer
   x = 321,335.38