Finding the Third Proportional to 78,846 and 117,960

Step by Step Solution

1. Step 1: Write the proportion equation
   78,846 : 117,960 = 117,960 : x
2. Step 2: Convert to fraction form
   78,846/117,960 = 117,960/x
3. Step 3: Cross multiply
   78,846x = 117,960 × 117,960
4. Step 4: Simplify right side
   78,846x = 13,914,561,600
5. Step 5: Solve for x
   x = 13,914,561,600/78,846
6. Step 6: Final answer
   x = 176,477.71