Finding the Third Proportional to 78,688 and 173,180

Step by Step Solution

1. Step 1: Write the proportion equation
   78,688 : 173,180 = 173,180 : x
2. Step 2: Convert to fraction form
   78,688/173,180 = 173,180/x
3. Step 3: Cross multiply
   78,688x = 173,180 × 173,180
4. Step 4: Simplify right side
   78,688x = 29,991,312,400
5. Step 5: Solve for x
   x = 29,991,312,400/78,688
6. Step 6: Final answer
   x = 381,142.14