Finding the Third Proportional to 47,395.50 and 109,722.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,395.50 : 109,722.75 = 109,722.75 : x
2. Step 2: Convert to fraction form
   47,395.50/109,722.75 = 109,722.75/x
3. Step 3: Cross multiply
   47,395.50x = 109,722.75 × 109,722.75
4. Step 4: Simplify right side
   47,395.50x = 12,039,081,867.56
5. Step 5: Solve for x
   x = 12,039,081,867.56/47,395.50
6. Step 6: Final answer
   x = 254,013.18