Finding the Third Proportional to 47,116.50 and 102,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,116.50 : 102,544.50 = 102,544.50 : x
2. Step 2: Convert to fraction form
   47,116.50/102,544.50 = 102,544.50/x
3. Step 3: Cross multiply
   47,116.50x = 102,544.50 × 102,544.50
4. Step 4: Simplify right side
   47,116.50x = 10,515,374,480.25
5. Step 5: Solve for x
   x = 10,515,374,480.25/47,116.50
6. Step 6: Final answer
   x = 223,178.17