Finding the Third Proportional to 42,236 and 91,774

Step by Step Solution

1. Step 1: Write the proportion equation
   42,236 : 91,774 = 91,774 : x
2. Step 2: Convert to fraction form
   42,236/91,774 = 91,774/x
3. Step 3: Cross multiply
   42,236x = 91,774 × 91,774
4. Step 4: Simplify right side
   42,236x = 8,422,467,076
5. Step 5: Solve for x
   x = 8,422,467,076/42,236
6. Step 6: Final answer
   x = 199,414.41