Finding the Third Proportional to 277,578 and 597,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,578 : 597,256.50 = 597,256.50 : x
2. Step 2: Convert to fraction form
   277,578/597,256.50 = 597,256.50/x
3. Step 3: Cross multiply
   277,578x = 597,256.50 × 597,256.50
4. Step 4: Simplify right side
   277,578x = 356,715,326,792.25
5. Step 5: Solve for x
   x = 356,715,326,792.25/277,578
6. Step 6: Final answer
   x = 1,285,099.42