Finding the Third Proportional to 109,926 and 234,081

Step by Step Solution

1. Step 1: Write the proportion equation
   109,926 : 234,081 = 234,081 : x
2. Step 2: Convert to fraction form
   109,926/234,081 = 234,081/x
3. Step 3: Cross multiply
   109,926x = 234,081 × 234,081
4. Step 4: Simplify right side
   109,926x = 54,793,914,561
5. Step 5: Solve for x
   x = 54,793,914,561/109,926
6. Step 6: Final answer
   x = 498,461.82