Finding the Third Proportional to 81,946 and 123,668

Step by Step Solution

1. Step 1: Write the proportion equation
   81,946 : 123,668 = 123,668 : x
2. Step 2: Convert to fraction form
   81,946/123,668 = 123,668/x
3. Step 3: Cross multiply
   81,946x = 123,668 × 123,668
4. Step 4: Simplify right side
   81,946x = 15,293,774,224
5. Step 5: Solve for x
   x = 15,293,774,224/81,946
6. Step 6: Final answer
   x = 186,632.35