Finding the Third Proportional to 47,128.50 and 102,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,128.50 : 102,586.50 = 102,586.50 : x
2. Step 2: Convert to fraction form
   47,128.50/102,586.50 = 102,586.50/x
3. Step 3: Cross multiply
   47,128.50x = 102,586.50 × 102,586.50
4. Step 4: Simplify right side
   47,128.50x = 10,523,989,982.25
5. Step 5: Solve for x
   x = 10,523,989,982.25/47,128.50
6. Step 6: Final answer
   x = 223,304.16