Finding the Third Proportional to 83,786 and 173,404

Step by Step Solution

1. Step 1: Write the proportion equation
   83,786 : 173,404 = 173,404 : x
2. Step 2: Convert to fraction form
   83,786/173,404 = 173,404/x
3. Step 3: Cross multiply
   83,786x = 173,404 × 173,404
4. Step 4: Simplify right side
   83,786x = 30,068,947,216
5. Step 5: Solve for x
   x = 30,068,947,216/83,786
6. Step 6: Final answer
   x = 358,877.94