Finding the Third Proportional to 271,977 and 382,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,977 : 382,324.50 = 382,324.50 : x
2. Step 2: Convert to fraction form
   271,977/382,324.50 = 382,324.50/x
3. Step 3: Cross multiply
   271,977x = 382,324.50 × 382,324.50
4. Step 4: Simplify right side
   271,977x = 146,172,023,300.25
5. Step 5: Solve for x
   x = 146,172,023,300.25/271,977
6. Step 6: Final answer
   x = 537,442.59