Finding the Third Proportional to 80,152 and 117,960

Step by Step Solution

1. Step 1: Write the proportion equation
   80,152 : 117,960 = 117,960 : x
2. Step 2: Convert to fraction form
   80,152/117,960 = 117,960/x
3. Step 3: Cross multiply
   80,152x = 117,960 × 117,960
4. Step 4: Simplify right side
   80,152x = 13,914,561,600
5. Step 5: Solve for x
   x = 13,914,561,600/80,152
6. Step 6: Final answer
   x = 173,602.18