Finding the Third Proportional to 58,858 and 82,766

Step by Step Solution

1. Step 1: Write the proportion equation
   58,858 : 82,766 = 82,766 : x
2. Step 2: Convert to fraction form
   58,858/82,766 = 82,766/x
3. Step 3: Cross multiply
   58,858x = 82,766 × 82,766
4. Step 4: Simplify right side
   58,858x = 6,850,210,756
5. Step 5: Solve for x
   x = 6,850,210,756/58,858
6. Step 6: Final answer
   x = 116,385.38