Finding the Third Proportional to 50,192 and 76,854

Step by Step Solution

1. Step 1: Write the proportion equation
   50,192 : 76,854 = 76,854 : x
2. Step 2: Convert to fraction form
   50,192/76,854 = 76,854/x
3. Step 3: Cross multiply
   50,192x = 76,854 × 76,854
4. Step 4: Simplify right side
   50,192x = 5,906,537,316
5. Step 5: Solve for x
   x = 5,906,537,316/50,192
6. Step 6: Final answer
   x = 117,678.86