Finding the Third Proportional to 59,678 and 83,658

Step by Step Solution

1. Step 1: Write the proportion equation
   59,678 : 83,658 = 83,658 : x
2. Step 2: Convert to fraction form
   59,678/83,658 = 83,658/x
3. Step 3: Cross multiply
   59,678x = 83,658 × 83,658
4. Step 4: Simplify right side
   59,678x = 6,998,660,964
5. Step 5: Solve for x
   x = 6,998,660,964/59,678
6. Step 6: Final answer
   x = 117,273.72