Finding the Third Proportional to 50,884 and 103,154

Step by Step Solution

1. Step 1: Write the proportion equation
   50,884 : 103,154 = 103,154 : x
2. Step 2: Convert to fraction form
   50,884/103,154 = 103,154/x
3. Step 3: Cross multiply
   50,884x = 103,154 × 103,154
4. Step 4: Simplify right side
   50,884x = 10,640,747,716
5. Step 5: Solve for x
   x = 10,640,747,716/50,884
6. Step 6: Final answer
   x = 209,117.75