Finding the Third Proportional to 47,146.50 and 102,604.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,146.50 : 102,604.50 = 102,604.50 : x
2. Step 2: Convert to fraction form
   47,146.50/102,604.50 = 102,604.50/x
3. Step 3: Cross multiply
   47,146.50x = 102,604.50 × 102,604.50
4. Step 4: Simplify right side
   47,146.50x = 10,527,683,420.25
5. Step 5: Solve for x
   x = 10,527,683,420.25/47,146.50
6. Step 6: Final answer
   x = 223,297.24