Finding the Third Proportional to 83,490 and 173,876

Step by Step Solution

1. Step 1: Write the proportion equation
   83,490 : 173,876 = 173,876 : x
2. Step 2: Convert to fraction form
   83,490/173,876 = 173,876/x
3. Step 3: Cross multiply
   83,490x = 173,876 × 173,876
4. Step 4: Simplify right side
   83,490x = 30,232,863,376
5. Step 5: Solve for x
   x = 30,232,863,376/83,490
6. Step 6: Final answer
   x = 362,113.59