Finding the Third Proportional to 85,806 and 131,262

Step by Step Solution

1. Step 1: Write the proportion equation
   85,806 : 131,262 = 131,262 : x
2. Step 2: Convert to fraction form
   85,806/131,262 = 131,262/x
3. Step 3: Cross multiply
   85,806x = 131,262 × 131,262
4. Step 4: Simplify right side
   85,806x = 17,229,712,644
5. Step 5: Solve for x
   x = 17,229,712,644/85,806
6. Step 6: Final answer
   x = 200,798.46