Finding the Third Proportional to 126,399 and 189,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,399 : 189,922.50 = 189,922.50 : x
2. Step 2: Convert to fraction form
   126,399/189,922.50 = 189,922.50/x
3. Step 3: Cross multiply
   126,399x = 189,922.50 × 189,922.50
4. Step 4: Simplify right side
   126,399x = 36,070,556,006.25
5. Step 5: Solve for x
   x = 36,070,556,006.25/126,399
6. Step 6: Final answer
   x = 285,370.58