Finding the Third Proportional to 34,054 and 82,386

Step by Step Solution

1. Step 1: Write the proportion equation
   34,054 : 82,386 = 82,386 : x
2. Step 2: Convert to fraction form
   34,054/82,386 = 82,386/x
3. Step 3: Cross multiply
   34,054x = 82,386 × 82,386
4. Step 4: Simplify right side
   34,054x = 6,787,452,996
5. Step 5: Solve for x
   x = 6,787,452,996/34,054
6. Step 6: Final answer
   x = 199,314.41