Finding the Third Proportional to 47,225.50 and 102,758

Step by Step Solution

1. Step 1: Write the proportion equation
   47,225.50 : 102,758 = 102,758 : x
2. Step 2: Convert to fraction form
   47,225.50/102,758 = 102,758/x
3. Step 3: Cross multiply
   47,225.50x = 102,758 × 102,758
4. Step 4: Simplify right side
   47,225.50x = 10,559,206,564
5. Step 5: Solve for x
   x = 10,559,206,564/47,225.50
6. Step 6: Final answer
   x = 223,591.21