Finding the Third Proportional to 271,039.50 and 582,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,039.50 : 582,953.50 = 582,953.50 : x
2. Step 2: Convert to fraction form
   271,039.50/582,953.50 = 582,953.50/x
3. Step 3: Cross multiply
   271,039.50x = 582,953.50 × 582,953.50
4. Step 4: Simplify right side
   271,039.50x = 339,834,783,162.25
5. Step 5: Solve for x
   x = 339,834,783,162.25/271,039.50
6. Step 6: Final answer
   x = 1,253,820.14