Finding the Third Proportional to 47,199.75 and 102,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,199.75 : 102,616.50 = 102,616.50 : x
2. Step 2: Convert to fraction form
   47,199.75/102,616.50 = 102,616.50/x
3. Step 3: Cross multiply
   47,199.75x = 102,616.50 × 102,616.50
4. Step 4: Simplify right side
   47,199.75x = 10,530,146,072.25
5. Step 5: Solve for x
   x = 10,530,146,072.25/47,199.75
6. Step 6: Final answer
   x = 223,097.50