Finding the Third Proportional to 48,118.50 and 102,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,118.50 : 102,469.50 = 102,469.50 : x
2. Step 2: Convert to fraction form
   48,118.50/102,469.50 = 102,469.50/x
3. Step 3: Cross multiply
   48,118.50x = 102,469.50 × 102,469.50
4. Step 4: Simplify right side
   48,118.50x = 10,499,998,430.25
5. Step 5: Solve for x
   x = 10,499,998,430.25/48,118.50
6. Step 6: Final answer
   x = 218,211.26