Finding the Third Proportional to 42,825 and 90,267

Step by Step Solution

1. Step 1: Write the proportion equation
   42,825 : 90,267 = 90,267 : x
2. Step 2: Convert to fraction form
   42,825/90,267 = 90,267/x
3. Step 3: Cross multiply
   42,825x = 90,267 × 90,267
4. Step 4: Simplify right side
   42,825x = 8,148,131,289
5. Step 5: Solve for x
   x = 8,148,131,289/42,825
6. Step 6: Final answer
   x = 190,265.76