Finding the Third Proportional to 274,857 and 591,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,857 : 591,265.50 = 591,265.50 : x
2. Step 2: Convert to fraction form
   274,857/591,265.50 = 591,265.50/x
3. Step 3: Cross multiply
   274,857x = 591,265.50 × 591,265.50
4. Step 4: Simplify right side
   274,857x = 349,594,891,490.25
5. Step 5: Solve for x
   x = 349,594,891,490.25/274,857
6. Step 6: Final answer
   x = 1,271,915.55