Finding the Third Proportional to 138,978 and 271,044

Step by Step Solution

1. Step 1: Write the proportion equation
   138,978 : 271,044 = 271,044 : x
2. Step 2: Convert to fraction form
   138,978/271,044 = 271,044/x
3. Step 3: Cross multiply
   138,978x = 271,044 × 271,044
4. Step 4: Simplify right side
   138,978x = 73,464,849,936
5. Step 5: Solve for x
   x = 73,464,849,936/138,978
6. Step 6: Final answer
   x = 528,607.76