Finding the Third Proportional to 48,702 and 113,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,702 : 113,786.50 = 113,786.50 : x
2. Step 2: Convert to fraction form
   48,702/113,786.50 = 113,786.50/x
3. Step 3: Cross multiply
   48,702x = 113,786.50 × 113,786.50
4. Step 4: Simplify right side
   48,702x = 12,947,367,582.25
5. Step 5: Solve for x
   x = 12,947,367,582.25/48,702
6. Step 6: Final answer
   x = 265,848.79