Finding the Third Proportional to 47,632.50 and 102,798

Step by Step Solution

1. Step 1: Write the proportion equation
   47,632.50 : 102,798 = 102,798 : x
2. Step 2: Convert to fraction form
   47,632.50/102,798 = 102,798/x
3. Step 3: Cross multiply
   47,632.50x = 102,798 × 102,798
4. Step 4: Simplify right side
   47,632.50x = 10,567,428,804
5. Step 5: Solve for x
   x = 10,567,428,804/47,632.50
6. Step 6: Final answer
   x = 221,853.33