Finding the Third Proportional to 126,145.50 and 189,747

Step by Step Solution

1. Step 1: Write the proportion equation
   126,145.50 : 189,747 = 189,747 : x
2. Step 2: Convert to fraction form
   126,145.50/189,747 = 189,747/x
3. Step 3: Cross multiply
   126,145.50x = 189,747 × 189,747
4. Step 4: Simplify right side
   126,145.50x = 36,003,924,009
5. Step 5: Solve for x
   x = 36,003,924,009/126,145.50
6. Step 6: Final answer
   x = 285,415.84