Finding the Third Proportional to 52,144 and 80,778

Step by Step Solution

1. Step 1: Write the proportion equation
   52,144 : 80,778 = 80,778 : x
2. Step 2: Convert to fraction form
   52,144/80,778 = 80,778/x
3. Step 3: Cross multiply
   52,144x = 80,778 × 80,778
4. Step 4: Simplify right side
   52,144x = 6,525,085,284
5. Step 5: Solve for x
   x = 6,525,085,284/52,144
6. Step 6: Final answer
   x = 125,135.88