Finding the Third Proportional to 52,648 and 116,960

Step by Step Solution

1. Step 1: Write the proportion equation
   52,648 : 116,960 = 116,960 : x
2. Step 2: Convert to fraction form
   52,648/116,960 = 116,960/x
3. Step 3: Cross multiply
   52,648x = 116,960 × 116,960
4. Step 4: Simplify right side
   52,648x = 13,679,641,600
5. Step 5: Solve for x
   x = 13,679,641,600/52,648
6. Step 6: Final answer
   x = 259,832.12