Finding the Third Proportional to 82,880 and 173,440

Step by Step Solution

1. Step 1: Write the proportion equation
   82,880 : 173,440 = 173,440 : x
2. Step 2: Convert to fraction form
   82,880/173,440 = 173,440/x
3. Step 3: Cross multiply
   82,880x = 173,440 × 173,440
4. Step 4: Simplify right side
   82,880x = 30,081,433,600
5. Step 5: Solve for x
   x = 30,081,433,600/82,880
6. Step 6: Final answer
   x = 362,951.66