Finding the Third Proportional to 49,556 and 103,215

Step by Step Solution

1. Step 1: Write the proportion equation
   49,556 : 103,215 = 103,215 : x
2. Step 2: Convert to fraction form
   49,556/103,215 = 103,215/x
3. Step 3: Cross multiply
   49,556x = 103,215 × 103,215
4. Step 4: Simplify right side
   49,556x = 10,653,336,225
5. Step 5: Solve for x
   x = 10,653,336,225/49,556
6. Step 6: Final answer
   x = 214,975.71