Finding the Third Proportional to 80,688 and 175,152

Step by Step Solution

1. Step 1: Write the proportion equation
   80,688 : 175,152 = 175,152 : x
2. Step 2: Convert to fraction form
   80,688/175,152 = 175,152/x
3. Step 3: Cross multiply
   80,688x = 175,152 × 175,152
4. Step 4: Simplify right side
   80,688x = 30,678,223,104
5. Step 5: Solve for x
   x = 30,678,223,104/80,688
6. Step 6: Final answer
   x = 380,208