Finding the Third Proportional to 52,000 and 80,666

Step by Step Solution

1. Step 1: Write the proportion equation
   52,000 : 80,666 = 80,666 : x
2. Step 2: Convert to fraction form
   52,000/80,666 = 80,666/x
3. Step 3: Cross multiply
   52,000x = 80,666 × 80,666
4. Step 4: Simplify right side
   52,000x = 6,507,003,556
5. Step 5: Solve for x
   x = 6,507,003,556/52,000
6. Step 6: Final answer
   x = 125,134.68