Finding the Third Proportional to 129,819 and 196,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,819 : 196,132.50 = 196,132.50 : x
2. Step 2: Convert to fraction form
   129,819/196,132.50 = 196,132.50/x
3. Step 3: Cross multiply
   129,819x = 196,132.50 × 196,132.50
4. Step 4: Simplify right side
   129,819x = 38,467,957,556.25
5. Step 5: Solve for x
   x = 38,467,957,556.25/129,819
6. Step 6: Final answer
   x = 296,319.93