Finding the Third Proportional to 47,734.50 and 102,846

Step by Step Solution

1. Step 1: Write the proportion equation
   47,734.50 : 102,846 = 102,846 : x
2. Step 2: Convert to fraction form
   47,734.50/102,846 = 102,846/x
3. Step 3: Cross multiply
   47,734.50x = 102,846 × 102,846
4. Step 4: Simplify right side
   47,734.50x = 10,577,299,716
5. Step 5: Solve for x
   x = 10,577,299,716/47,734.50
6. Step 6: Final answer
   x = 221,586.06