Finding the Third Proportional to 47,383.50 and 102,148

Step by Step Solution

1. Step 1: Write the proportion equation
   47,383.50 : 102,148 = 102,148 : x
2. Step 2: Convert to fraction form
   47,383.50/102,148 = 102,148/x
3. Step 3: Cross multiply
   47,383.50x = 102,148 × 102,148
4. Step 4: Simplify right side
   47,383.50x = 10,434,213,904
5. Step 5: Solve for x
   x = 10,434,213,904/47,383.50
6. Step 6: Final answer
   x = 220,207.75