Finding the Third Proportional to 52,002 and 85,419

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 85,419 = 85,419 : x
2. Step 2: Convert to fraction form
   52,002/85,419 = 85,419/x
3. Step 3: Cross multiply
   52,002x = 85,419 × 85,419
4. Step 4: Simplify right side
   52,002x = 7,296,405,561
5. Step 5: Solve for x
   x = 7,296,405,561/52,002
6. Step 6: Final answer
   x = 140,310.10