Finding the Third Proportional to 50,882 and 103,142

Step by Step Solution

1. Step 1: Write the proportion equation
   50,882 : 103,142 = 103,142 : x
2. Step 2: Convert to fraction form
   50,882/103,142 = 103,142/x
3. Step 3: Cross multiply
   50,882x = 103,142 × 103,142
4. Step 4: Simplify right side
   50,882x = 10,638,272,164
5. Step 5: Solve for x
   x = 10,638,272,164/50,882
6. Step 6: Final answer
   x = 209,077.32