Finding the Third Proportional to 126,891 and 181,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,891 : 181,264.50 = 181,264.50 : x
2. Step 2: Convert to fraction form
   126,891/181,264.50 = 181,264.50/x
3. Step 3: Cross multiply
   126,891x = 181,264.50 × 181,264.50
4. Step 4: Simplify right side
   126,891x = 32,856,818,960.25
5. Step 5: Solve for x
   x = 32,856,818,960.25/126,891
6. Step 6: Final answer
   x = 258,937.35