Finding the Third Proportional to 82,813 and 131,185

Step by Step Solution

1. Step 1: Write the proportion equation
   82,813 : 131,185 = 131,185 : x
2. Step 2: Convert to fraction form
   82,813/131,185 = 131,185/x
3. Step 3: Cross multiply
   82,813x = 131,185 × 131,185
4. Step 4: Simplify right side
   82,813x = 17,209,504,225
5. Step 5: Solve for x
   x = 17,209,504,225/82,813
6. Step 6: Final answer
   x = 207,811.63