Finding the Third Proportional to 113,682 and 178,333

Step by Step Solution

1. Step 1: Write the proportion equation
   113,682 : 178,333 = 178,333 : x
2. Step 2: Convert to fraction form
   113,682/178,333 = 178,333/x
3. Step 3: Cross multiply
   113,682x = 178,333 × 178,333
4. Step 4: Simplify right side
   113,682x = 31,802,658,889
5. Step 5: Solve for x
   x = 31,802,658,889/113,682
6. Step 6: Final answer
   x = 279,751.05