Finding the Third Proportional to 52,880 and 77,856

Step by Step Solution

1. Step 1: Write the proportion equation
   52,880 : 77,856 = 77,856 : x
2. Step 2: Convert to fraction form
   52,880/77,856 = 77,856/x
3. Step 3: Cross multiply
   52,880x = 77,856 × 77,856
4. Step 4: Simplify right side
   52,880x = 6,061,556,736
5. Step 5: Solve for x
   x = 6,061,556,736/52,880
6. Step 6: Final answer
   x = 114,628.53