Finding the Third Proportional to 91,876 and 189,656

Step by Step Solution

1. Step 1: Write the proportion equation
   91,876 : 189,656 = 189,656 : x
2. Step 2: Convert to fraction form
   91,876/189,656 = 189,656/x
3. Step 3: Cross multiply
   91,876x = 189,656 × 189,656
4. Step 4: Simplify right side
   91,876x = 35,969,398,336
5. Step 5: Solve for x
   x = 35,969,398,336/91,876
6. Step 6: Final answer
   x = 391,499.39