Finding the Third Proportional to 113,856 and 182,931

Step by Step Solution

1. Step 1: Write the proportion equation
   113,856 : 182,931 = 182,931 : x
2. Step 2: Convert to fraction form
   113,856/182,931 = 182,931/x
3. Step 3: Cross multiply
   113,856x = 182,931 × 182,931
4. Step 4: Simplify right side
   113,856x = 33,463,750,761
5. Step 5: Solve for x
   x = 33,463,750,761/113,856
6. Step 6: Final answer
   x = 293,912.93