Finding the Third Proportional to 70,880 and 109,668

Step by Step Solution

1. Step 1: Write the proportion equation
   70,880 : 109,668 = 109,668 : x
2. Step 2: Convert to fraction form
   70,880/109,668 = 109,668/x
3. Step 3: Cross multiply
   70,880x = 109,668 × 109,668
4. Step 4: Simplify right side
   70,880x = 12,027,070,224
5. Step 5: Solve for x
   x = 12,027,070,224/70,880
6. Step 6: Final answer
   x = 169,682.14