Finding the Third Proportional to 140,824 and 212,434

Step by Step Solution

1. Step 1: Write the proportion equation
   140,824 : 212,434 = 212,434 : x
2. Step 2: Convert to fraction form
   140,824/212,434 = 212,434/x
3. Step 3: Cross multiply
   140,824x = 212,434 × 212,434
4. Step 4: Simplify right side
   140,824x = 45,128,204,356
5. Step 5: Solve for x
   x = 45,128,204,356/140,824
6. Step 6: Final answer
   x = 320,458.19