Finding the Third Proportional to 49,782 and 102,147

Step by Step Solution

1. Step 1: Write the proportion equation
   49,782 : 102,147 = 102,147 : x
2. Step 2: Convert to fraction form
   49,782/102,147 = 102,147/x
3. Step 3: Cross multiply
   49,782x = 102,147 × 102,147
4. Step 4: Simplify right side
   49,782x = 10,434,009,609
5. Step 5: Solve for x
   x = 10,434,009,609/49,782
6. Step 6: Final answer
   x = 209,594.02