Finding the Third Proportional to 53,216 and 78,794

Step by Step Solution

1. Step 1: Write the proportion equation
   53,216 : 78,794 = 78,794 : x
2. Step 2: Convert to fraction form
   53,216/78,794 = 78,794/x
3. Step 3: Cross multiply
   53,216x = 78,794 × 78,794
4. Step 4: Simplify right side
   53,216x = 6,208,494,436
5. Step 5: Solve for x
   x = 6,208,494,436/53,216
6. Step 6: Final answer
   x = 116,665.94