Finding the Third Proportional to 47,576.50 and 102,461

Step by Step Solution

1. Step 1: Write the proportion equation
   47,576.50 : 102,461 = 102,461 : x
2. Step 2: Convert to fraction form
   47,576.50/102,461 = 102,461/x
3. Step 3: Cross multiply
   47,576.50x = 102,461 × 102,461
4. Step 4: Simplify right side
   47,576.50x = 10,498,256,521
5. Step 5: Solve for x
   x = 10,498,256,521/47,576.50
6. Step 6: Final answer
   x = 220,660.55