Finding the Third Proportional to 81,904 and 123,168

Step by Step Solution

1. Step 1: Write the proportion equation
   81,904 : 123,168 = 123,168 : x
2. Step 2: Convert to fraction form
   81,904/123,168 = 123,168/x
3. Step 3: Cross multiply
   81,904x = 123,168 × 123,168
4. Step 4: Simplify right side
   81,904x = 15,170,356,224
5. Step 5: Solve for x
   x = 15,170,356,224/81,904
6. Step 6: Final answer
   x = 185,221.19