Finding the Third Proportional to 57,414 and 83,852

Step by Step Solution

1. Step 1: Write the proportion equation
   57,414 : 83,852 = 83,852 : x
2. Step 2: Convert to fraction form
   57,414/83,852 = 83,852/x
3. Step 3: Cross multiply
   57,414x = 83,852 × 83,852
4. Step 4: Simplify right side
   57,414x = 7,031,157,904
5. Step 5: Solve for x
   x = 7,031,157,904/57,414
6. Step 6: Final answer
   x = 122,464.17