Finding the Third Proportional to 85,817 and 131,280

Step by Step Solution

1. Step 1: Write the proportion equation
   85,817 : 131,280 = 131,280 : x
2. Step 2: Convert to fraction form
   85,817/131,280 = 131,280/x
3. Step 3: Cross multiply
   85,817x = 131,280 × 131,280
4. Step 4: Simplify right side
   85,817x = 17,234,438,400
5. Step 5: Solve for x
   x = 17,234,438,400/85,817
6. Step 6: Final answer
   x = 200,827.79