Finding the Third Proportional to 83,183 and 116,416

Step by Step Solution

1. Step 1: Write the proportion equation
   83,183 : 116,416 = 116,416 : x
2. Step 2: Convert to fraction form
   83,183/116,416 = 116,416/x
3. Step 3: Cross multiply
   83,183x = 116,416 × 116,416
4. Step 4: Simplify right side
   83,183x = 13,552,685,056
5. Step 5: Solve for x
   x = 13,552,685,056/83,183
6. Step 6: Final answer
   x = 162,926.14