Finding the Third Proportional to 52,402 and 113,666

Step by Step Solution

1. Step 1: Write the proportion equation
   52,402 : 113,666 = 113,666 : x
2. Step 2: Convert to fraction form
   52,402/113,666 = 113,666/x
3. Step 3: Cross multiply
   52,402x = 113,666 × 113,666
4. Step 4: Simplify right side
   52,402x = 12,919,959,556
5. Step 5: Solve for x
   x = 12,919,959,556/52,402
6. Step 6: Final answer
   x = 246,554.70