Finding the Third Proportional to 50,488 and 78,166

Step by Step Solution

1. Step 1: Write the proportion equation
   50,488 : 78,166 = 78,166 : x
2. Step 2: Convert to fraction form
   50,488/78,166 = 78,166/x
3. Step 3: Cross multiply
   50,488x = 78,166 × 78,166
4. Step 4: Simplify right side
   50,488x = 6,109,923,556
5. Step 5: Solve for x
   x = 6,109,923,556/50,488
6. Step 6: Final answer
   x = 121,017.34