Finding the Third Proportional to 116,932 and 182,243

Step by Step Solution

1. Step 1: Write the proportion equation
   116,932 : 182,243 = 182,243 : x
2. Step 2: Convert to fraction form
   116,932/182,243 = 182,243/x
3. Step 3: Cross multiply
   116,932x = 182,243 × 182,243
4. Step 4: Simplify right side
   116,932x = 33,212,511,049
5. Step 5: Solve for x
   x = 33,212,511,049/116,932
6. Step 6: Final answer
   x = 284,032.69