Finding the Third Proportional to 50,327 and 102,838

Step by Step Solution

1. Step 1: Write the proportion equation
   50,327 : 102,838 = 102,838 : x
2. Step 2: Convert to fraction form
   50,327/102,838 = 102,838/x
3. Step 3: Cross multiply
   50,327x = 102,838 × 102,838
4. Step 4: Simplify right side
   50,327x = 10,575,654,244
5. Step 5: Solve for x
   x = 10,575,654,244/50,327
6. Step 6: Final answer
   x = 210,138.78