Finding the Third Proportional to 82,856 and 130,188

Step by Step Solution

1. Step 1: Write the proportion equation
   82,856 : 130,188 = 130,188 : x
2. Step 2: Convert to fraction form
   82,856/130,188 = 130,188/x
3. Step 3: Cross multiply
   82,856x = 130,188 × 130,188
4. Step 4: Simplify right side
   82,856x = 16,948,915,344
5. Step 5: Solve for x
   x = 16,948,915,344/82,856
6. Step 6: Final answer
   x = 204,558.70