Finding the Third Proportional to 42,814 and 92,936

Step by Step Solution

1. Step 1: Write the proportion equation
   42,814 : 92,936 = 92,936 : x
2. Step 2: Convert to fraction form
   42,814/92,936 = 92,936/x
3. Step 3: Cross multiply
   42,814x = 92,936 × 92,936
4. Step 4: Simplify right side
   42,814x = 8,637,100,096
5. Step 5: Solve for x
   x = 8,637,100,096/42,814
6. Step 6: Final answer
   x = 201,735.42