Finding the Third Proportional to 47,383.50 and 102,357

Step by Step Solution

1. Step 1: Write the proportion equation
   47,383.50 : 102,357 = 102,357 : x
2. Step 2: Convert to fraction form
   47,383.50/102,357 = 102,357/x
3. Step 3: Cross multiply
   47,383.50x = 102,357 × 102,357
4. Step 4: Simplify right side
   47,383.50x = 10,476,955,449
5. Step 5: Solve for x
   x = 10,476,955,449/47,383.50
6. Step 6: Final answer
   x = 221,109.78