Finding the Third Proportional to 42,257 and 91,814

Step by Step Solution

1. Step 1: Write the proportion equation
   42,257 : 91,814 = 91,814 : x
2. Step 2: Convert to fraction form
   42,257/91,814 = 91,814/x
3. Step 3: Cross multiply
   42,257x = 91,814 × 91,814
4. Step 4: Simplify right side
   42,257x = 8,429,810,596
5. Step 5: Solve for x
   x = 8,429,810,596/42,257
6. Step 6: Final answer
   x = 199,489.09