Finding the Third Proportional to 57,961 and 123,577

Step by Step Solution

1. Step 1: Write the proportion equation
   57,961 : 123,577 = 123,577 : x
2. Step 2: Convert to fraction form
   57,961/123,577 = 123,577/x
3. Step 3: Cross multiply
   57,961x = 123,577 × 123,577
4. Step 4: Simplify right side
   57,961x = 15,271,274,929
5. Step 5: Solve for x
   x = 15,271,274,929/57,961
6. Step 6: Final answer
   x = 263,475.01