Finding the Third Proportional to 126,340.50 and 189,315

Step by Step Solution

1. Step 1: Write the proportion equation
   126,340.50 : 189,315 = 189,315 : x
2. Step 2: Convert to fraction form
   126,340.50/189,315 = 189,315/x
3. Step 3: Cross multiply
   126,340.50x = 189,315 × 189,315
4. Step 4: Simplify right side
   126,340.50x = 35,840,169,225
5. Step 5: Solve for x
   x = 35,840,169,225/126,340.50
6. Step 6: Final answer
   x = 283,679.18