Finding the Third Proportional to 47,826 and 105,086.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,826 : 105,086.25 = 105,086.25 : x
2. Step 2: Convert to fraction form
   47,826/105,086.25 = 105,086.25/x
3. Step 3: Cross multiply
   47,826x = 105,086.25 × 105,086.25
4. Step 4: Simplify right side
   47,826x = 11,043,119,939.06
5. Step 5: Solve for x
   x = 11,043,119,939.06/47,826
6. Step 6: Final answer
   x = 230,902.02