Finding the Third Proportional to 40,757 and 90,262

Step by Step Solution

1. Step 1: Write the proportion equation
   40,757 : 90,262 = 90,262 : x
2. Step 2: Convert to fraction form
   40,757/90,262 = 90,262/x
3. Step 3: Cross multiply
   40,757x = 90,262 × 90,262
4. Step 4: Simplify right side
   40,757x = 8,147,228,644
5. Step 5: Solve for x
   x = 8,147,228,644/40,757
6. Step 6: Final answer
   x = 199,897.65