Finding the Third Proportional to 113,680 and 178,330

Step by Step Solution

1. Step 1: Write the proportion equation
   113,680 : 178,330 = 178,330 : x
2. Step 2: Convert to fraction form
   113,680/178,330 = 178,330/x
3. Step 3: Cross multiply
   113,680x = 178,330 × 178,330
4. Step 4: Simplify right side
   113,680x = 31,801,588,900
5. Step 5: Solve for x
   x = 31,801,588,900/113,680
6. Step 6: Final answer
   x = 279,746.56