Finding the Third Proportional to 113,716 and 179,934

Step by Step Solution

1. Step 1: Write the proportion equation
   113,716 : 179,934 = 179,934 : x
2. Step 2: Convert to fraction form
   113,716/179,934 = 179,934/x
3. Step 3: Cross multiply
   113,716x = 179,934 × 179,934
4. Step 4: Simplify right side
   113,716x = 32,376,244,356
5. Step 5: Solve for x
   x = 32,376,244,356/113,716
6. Step 6: Final answer
   x = 284,711.42