Finding the Third Proportional to 116,926 and 182,233

Step by Step Solution

1. Step 1: Write the proportion equation
   116,926 : 182,233 = 182,233 : x
2. Step 2: Convert to fraction form
   116,926/182,233 = 182,233/x
3. Step 3: Cross multiply
   116,926x = 182,233 × 182,233
4. Step 4: Simplify right side
   116,926x = 33,208,866,289
5. Step 5: Solve for x
   x = 33,208,866,289/116,926
6. Step 6: Final answer
   x = 284,016.10