Finding the Third Proportional to 52,309 and 123,467

Step by Step Solution

1. Step 1: Write the proportion equation
   52,309 : 123,467 = 123,467 : x
2. Step 2: Convert to fraction form
   52,309/123,467 = 123,467/x
3. Step 3: Cross multiply
   52,309x = 123,467 × 123,467
4. Step 4: Simplify right side
   52,309x = 15,244,100,089
5. Step 5: Solve for x
   x = 15,244,100,089/52,309
6. Step 6: Final answer
   x = 291,424.04