Finding the Third Proportional to 42,774 and 91,356

Step by Step Solution

1. Step 1: Write the proportion equation
   42,774 : 91,356 = 91,356 : x
2. Step 2: Convert to fraction form
   42,774/91,356 = 91,356/x
3. Step 3: Cross multiply
   42,774x = 91,356 × 91,356
4. Step 4: Simplify right side
   42,774x = 8,345,918,736
5. Step 5: Solve for x
   x = 8,345,918,736/42,774
6. Step 6: Final answer
   x = 195,116.63