Finding the Third Proportional to 271,978 and 382,326

Step by Step Solution

1. Step 1: Write the proportion equation
   271,978 : 382,326 = 382,326 : x
2. Step 2: Convert to fraction form
   271,978/382,326 = 382,326/x
3. Step 3: Cross multiply
   271,978x = 382,326 × 382,326
4. Step 4: Simplify right side
   271,978x = 146,173,170,276
5. Step 5: Solve for x
   x = 146,173,170,276/271,978
6. Step 6: Final answer
   x = 537,444.83