Finding the Third Proportional to 277,749 and 395,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,749 : 395,725.50 = 395,725.50 : x
2. Step 2: Convert to fraction form
   277,749/395,725.50 = 395,725.50/x
3. Step 3: Cross multiply
   277,749x = 395,725.50 × 395,725.50
4. Step 4: Simplify right side
   277,749x = 156,598,671,350.25
5. Step 5: Solve for x
   x = 156,598,671,350.25/277,749
6. Step 6: Final answer
   x = 563,813.63