Finding the Third Proportional to 78,269 and 104,856

Step by Step Solution

1. Step 1: Write the proportion equation
   78,269 : 104,856 = 104,856 : x
2. Step 2: Convert to fraction form
   78,269/104,856 = 104,856/x
3. Step 3: Cross multiply
   78,269x = 104,856 × 104,856
4. Step 4: Simplify right side
   78,269x = 10,994,780,736
5. Step 5: Solve for x
   x = 10,994,780,736/78,269
6. Step 6: Final answer
   x = 140,474.27