Finding the Third Proportional to 124,213.50 and 196,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,213.50 : 196,771.50 = 196,771.50 : x
2. Step 2: Convert to fraction form
   124,213.50/196,771.50 = 196,771.50/x
3. Step 3: Cross multiply
   124,213.50x = 196,771.50 × 196,771.50
4. Step 4: Simplify right side
   124,213.50x = 38,719,023,212.25
5. Step 5: Solve for x
   x = 38,719,023,212.25/124,213.50
6. Step 6: Final answer
   x = 311,713.49