Finding the Third Proportional to 126,039 and 189,058.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,039 : 189,058.50 = 189,058.50 : x
2. Step 2: Convert to fraction form
   126,039/189,058.50 = 189,058.50/x
3. Step 3: Cross multiply
   126,039x = 189,058.50 × 189,058.50
4. Step 4: Simplify right side
   126,039x = 35,743,116,422.25
5. Step 5: Solve for x
   x = 35,743,116,422.25/126,039
6. Step 6: Final answer
   x = 283,587.75