Finding the Third Proportional to 42,144 and 92,774

Step by Step Solution

1. Step 1: Write the proportion equation
   42,144 : 92,774 = 92,774 : x
2. Step 2: Convert to fraction form
   42,144/92,774 = 92,774/x
3. Step 3: Cross multiply
   42,144x = 92,774 × 92,774
4. Step 4: Simplify right side
   42,144x = 8,607,015,076
5. Step 5: Solve for x
   x = 8,607,015,076/42,144
6. Step 6: Final answer
   x = 204,228.72