Finding the Third Proportional to 196,501.50 and 278,105.69

Step by Step Solution

1. Step 1: Write the proportion equation
   196,501.50 : 278,105.69 = 278,105.69 : x
2. Step 2: Convert to fraction form
   196,501.50/278,105.69 = 278,105.69/x
3. Step 3: Cross multiply
   196,501.50x = 278,105.69 × 278,105.69
4. Step 4: Simplify right side
   196,501.50x = 77,342,773,419.85
5. Step 5: Solve for x
   x = 77,342,773,419.85/196,501.50
6. Step 6: Final answer
   x = 393,598.90