Finding the Third Proportional to 47,685 and 103,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,685 : 103,563.50 = 103,563.50 : x
2. Step 2: Convert to fraction form
   47,685/103,563.50 = 103,563.50/x
3. Step 3: Cross multiply
   47,685x = 103,563.50 × 103,563.50
4. Step 4: Simplify right side
   47,685x = 10,725,398,532.25
5. Step 5: Solve for x
   x = 10,725,398,532.25/47,685
6. Step 6: Final answer
   x = 224,921.85