Finding the Third Proportional to 52,002 and 80,206

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 80,206 = 80,206 : x
2. Step 2: Convert to fraction form
   52,002/80,206 = 80,206/x
3. Step 3: Cross multiply
   52,002x = 80,206 × 80,206
4. Step 4: Simplify right side
   52,002x = 6,433,002,436
5. Step 5: Solve for x
   x = 6,433,002,436/52,002
6. Step 6: Final answer
   x = 123,706.83