Finding the Third Proportional to 126,150 and 189,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,150 : 189,751.50 = 189,751.50 : x
2. Step 2: Convert to fraction form
   126,150/189,751.50 = 189,751.50/x
3. Step 3: Cross multiply
   126,150x = 189,751.50 × 189,751.50
4. Step 4: Simplify right side
   126,150x = 36,005,631,752.25
5. Step 5: Solve for x
   x = 36,005,631,752.25/126,150
6. Step 6: Final answer
   x = 285,419.20