Finding the Third Proportional to 47,536.50 and 102,849

Step by Step Solution

1. Step 1: Write the proportion equation
   47,536.50 : 102,849 = 102,849 : x
2. Step 2: Convert to fraction form
   47,536.50/102,849 = 102,849/x
3. Step 3: Cross multiply
   47,536.50x = 102,849 × 102,849
4. Step 4: Simplify right side
   47,536.50x = 10,577,916,801
5. Step 5: Solve for x
   x = 10,577,916,801/47,536.50
6. Step 6: Final answer
   x = 222,521.99