Finding the Third Proportional to 82,890 and 173,460

Step by Step Solution

1. Step 1: Write the proportion equation
   82,890 : 173,460 = 173,460 : x
2. Step 2: Convert to fraction form
   82,890/173,460 = 173,460/x
3. Step 3: Cross multiply
   82,890x = 173,460 × 173,460
4. Step 4: Simplify right side
   82,890x = 30,088,371,600
5. Step 5: Solve for x
   x = 30,088,371,600/82,890
6. Step 6: Final answer
   x = 362,991.57