Finding the Third Proportional to 52,698 and 83,419

Step by Step Solution

1. Step 1: Write the proportion equation
   52,698 : 83,419 = 83,419 : x
2. Step 2: Convert to fraction form
   52,698/83,419 = 83,419/x
3. Step 3: Cross multiply
   52,698x = 83,419 × 83,419
4. Step 4: Simplify right side
   52,698x = 6,958,729,561
5. Step 5: Solve for x
   x = 6,958,729,561/52,698
6. Step 6: Final answer
   x = 132,049.22