Finding the Third Proportional to 207,536 and 311,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   207,536 : 311,306.50 = 311,306.50 : x
2. Step 2: Convert to fraction form
   207,536/311,306.50 = 311,306.50/x
3. Step 3: Cross multiply
   207,536x = 311,306.50 × 311,306.50
4. Step 4: Simplify right side
   207,536x = 96,911,736,942.25
5. Step 5: Solve for x
   x = 96,911,736,942.25/207,536
6. Step 6: Final answer
   x = 466,963.50