Finding the Third Proportional to 47,870.50 and 102,257

Step by Step Solution

1. Step 1: Write the proportion equation
   47,870.50 : 102,257 = 102,257 : x
2. Step 2: Convert to fraction form
   47,870.50/102,257 = 102,257/x
3. Step 3: Cross multiply
   47,870.50x = 102,257 × 102,257
4. Step 4: Simplify right side
   47,870.50x = 10,456,494,049
5. Step 5: Solve for x
   x = 10,456,494,049/47,870.50
6. Step 6: Final answer
   x = 218,432.94