Finding the Third Proportional to 126,385 and 189,901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,385 : 189,901.50 = 189,901.50 : x
2. Step 2: Convert to fraction form
   126,385/189,901.50 = 189,901.50/x
3. Step 3: Cross multiply
   126,385x = 189,901.50 × 189,901.50
4. Step 4: Simplify right side
   126,385x = 36,062,579,702.25
5. Step 5: Solve for x
   x = 36,062,579,702.25/126,385
6. Step 6: Final answer
   x = 285,339.08