Finding the Third Proportional to 52,282 and 123,401

Step by Step Solution

1. Step 1: Write the proportion equation
   52,282 : 123,401 = 123,401 : x
2. Step 2: Convert to fraction form
   52,282/123,401 = 123,401/x
3. Step 3: Cross multiply
   52,282x = 123,401 × 123,401
4. Step 4: Simplify right side
   52,282x = 15,227,806,801
5. Step 5: Solve for x
   x = 15,227,806,801/52,282
6. Step 6: Final answer
   x = 291,262.90