Finding the Third Proportional to 120,969 and 194,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,969 : 194,215.50 = 194,215.50 : x
2. Step 2: Convert to fraction form
   120,969/194,215.50 = 194,215.50/x
3. Step 3: Cross multiply
   120,969x = 194,215.50 × 194,215.50
4. Step 4: Simplify right side
   120,969x = 37,719,660,440.25
5. Step 5: Solve for x
   x = 37,719,660,440.25/120,969
6. Step 6: Final answer
   x = 311,812.62