Finding the Third Proportional to 76,512 and 116,960

Step by Step Solution

1. Step 1: Write the proportion equation
   76,512 : 116,960 = 116,960 : x
2. Step 2: Convert to fraction form
   76,512/116,960 = 116,960/x
3. Step 3: Cross multiply
   76,512x = 116,960 × 116,960
4. Step 4: Simplify right side
   76,512x = 13,679,641,600
5. Step 5: Solve for x
   x = 13,679,641,600/76,512
6. Step 6: Final answer
   x = 178,790.80