Finding the Third Proportional to 51,843 and 109,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,843 : 109,219.50 = 109,219.50 : x
2. Step 2: Convert to fraction form
   51,843/109,219.50 = 109,219.50/x
3. Step 3: Cross multiply
   51,843x = 109,219.50 × 109,219.50
4. Step 4: Simplify right side
   51,843x = 11,928,899,180.25
5. Step 5: Solve for x
   x = 11,928,899,180.25/51,843
6. Step 6: Final answer
   x = 230,096.62