Finding the Third Proportional to 52,505 and 123,419

Step by Step Solution

1. Step 1: Write the proportion equation
   52,505 : 123,419 = 123,419 : x
2. Step 2: Convert to fraction form
   52,505/123,419 = 123,419/x
3. Step 3: Cross multiply
   52,505x = 123,419 × 123,419
4. Step 4: Simplify right side
   52,505x = 15,232,249,561
5. Step 5: Solve for x
   x = 15,232,249,561/52,505
6. Step 6: Final answer
   x = 290,110.46