Finding the Third Proportional to 70,842 and 108,540

Step by Step Solution

1. Step 1: Write the proportion equation
   70,842 : 108,540 = 108,540 : x
2. Step 2: Convert to fraction form
   70,842/108,540 = 108,540/x
3. Step 3: Cross multiply
   70,842x = 108,540 × 108,540
4. Step 4: Simplify right side
   70,842x = 11,780,931,600
5. Step 5: Solve for x
   x = 11,780,931,600/70,842
6. Step 6: Final answer
   x = 166,298.69