Finding the Third Proportional to 126,139 and 189,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,139 : 189,740.50 = 189,740.50 : x
2. Step 2: Convert to fraction form
   126,139/189,740.50 = 189,740.50/x
3. Step 3: Cross multiply
   126,139x = 189,740.50 × 189,740.50
4. Step 4: Simplify right side
   126,139x = 36,001,457,340.25
5. Step 5: Solve for x
   x = 36,001,457,340.25/126,139
6. Step 6: Final answer
   x = 285,410.99