Finding the Third Proportional to 71,834 and 113,692

Step by Step Solution

1. Step 1: Write the proportion equation
   71,834 : 113,692 = 113,692 : x
2. Step 2: Convert to fraction form
   71,834/113,692 = 113,692/x
3. Step 3: Cross multiply
   71,834x = 113,692 × 113,692
4. Step 4: Simplify right side
   71,834x = 12,925,870,864
5. Step 5: Solve for x
   x = 12,925,870,864/71,834
6. Step 6: Final answer
   x = 179,940.85