Finding the Third Proportional to 131,967 and 311,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,967 : 311,209.50 = 311,209.50 : x
2. Step 2: Convert to fraction form
   131,967/311,209.50 = 311,209.50/x
3. Step 3: Cross multiply
   131,967x = 311,209.50 × 311,209.50
4. Step 4: Simplify right side
   131,967x = 96,851,352,890.25
5. Step 5: Solve for x
   x = 96,851,352,890.25/131,967
6. Step 6: Final answer
   x = 733,905.85