Finding the Third Proportional to 47,544 and 102,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,544 : 102,610.50 = 102,610.50 : x
2. Step 2: Convert to fraction form
   47,544/102,610.50 = 102,610.50/x
3. Step 3: Cross multiply
   47,544x = 102,610.50 × 102,610.50
4. Step 4: Simplify right side
   47,544x = 10,528,914,710.25
5. Step 5: Solve for x
   x = 10,528,914,710.25/47,544
6. Step 6: Final answer
   x = 221,456.22