Finding the Third Proportional to 123,961 and 271,669

Step by Step Solution

1. Step 1: Write the proportion equation
   123,961 : 271,669 = 271,669 : x
2. Step 2: Convert to fraction form
   123,961/271,669 = 271,669/x
3. Step 3: Cross multiply
   123,961x = 271,669 × 271,669
4. Step 4: Simplify right side
   123,961x = 73,804,045,561
5. Step 5: Solve for x
   x = 73,804,045,561/123,961
6. Step 6: Final answer
   x = 595,381.17