Finding the Third Proportional to 126,118 and 188,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,118 : 188,083.50 = 188,083.50 : x
2. Step 2: Convert to fraction form
   126,118/188,083.50 = 188,083.50/x
3. Step 3: Cross multiply
   126,118x = 188,083.50 × 188,083.50
4. Step 4: Simplify right side
   126,118x = 35,375,402,972.25
5. Step 5: Solve for x
   x = 35,375,402,972.25/126,118
6. Step 6: Final answer
   x = 280,494.48