Finding the Third Proportional to 70,286 and 111,684

Step by Step Solution

1. Step 1: Write the proportion equation
   70,286 : 111,684 = 111,684 : x
2. Step 2: Convert to fraction form
   70,286/111,684 = 111,684/x
3. Step 3: Cross multiply
   70,286x = 111,684 × 111,684
4. Step 4: Simplify right side
   70,286x = 12,473,315,856
5. Step 5: Solve for x
   x = 12,473,315,856/70,286
6. Step 6: Final answer
   x = 177,465.15