Finding the Third Proportional to 45,757 and 100,262

Step by Step Solution

1. Step 1: Write the proportion equation
   45,757 : 100,262 = 100,262 : x
2. Step 2: Convert to fraction form
   45,757/100,262 = 100,262/x
3. Step 3: Cross multiply
   45,757x = 100,262 × 100,262
4. Step 4: Simplify right side
   45,757x = 10,052,468,644
5. Step 5: Solve for x
   x = 10,052,468,644/45,757
6. Step 6: Final answer
   x = 219,692.48