Finding the Third Proportional to 52,002 and 101,412

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 101,412 = 101,412 : x
2. Step 2: Convert to fraction form
   52,002/101,412 = 101,412/x
3. Step 3: Cross multiply
   52,002x = 101,412 × 101,412
4. Step 4: Simplify right side
   52,002x = 10,284,393,744
5. Step 5: Solve for x
   x = 10,284,393,744/52,002
6. Step 6: Final answer
   x = 197,769.20