Finding the Third Proportional to 50,894 and 103,158

Step by Step Solution

1. Step 1: Write the proportion equation
   50,894 : 103,158 = 103,158 : x
2. Step 2: Convert to fraction form
   50,894/103,158 = 103,158/x
3. Step 3: Cross multiply
   50,894x = 103,158 × 103,158
4. Step 4: Simplify right side
   50,894x = 10,641,572,964
5. Step 5: Solve for x
   x = 10,641,572,964/50,894
6. Step 6: Final answer
   x = 209,092.88