Finding the Third Proportional to 126,306 and 277,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,306 : 277,519.50 = 277,519.50 : x
2. Step 2: Convert to fraction form
   126,306/277,519.50 = 277,519.50/x
3. Step 3: Cross multiply
   126,306x = 277,519.50 × 277,519.50
4. Step 4: Simplify right side
   126,306x = 77,017,072,880.25
5. Step 5: Solve for x
   x = 77,017,072,880.25/126,306
6. Step 6: Final answer
   x = 609,765.75