Finding the Third Proportional to 42,085 and 92,089

Step by Step Solution

1. Step 1: Write the proportion equation
   42,085 : 92,089 = 92,089 : x
2. Step 2: Convert to fraction form
   42,085/92,089 = 92,089/x
3. Step 3: Cross multiply
   42,085x = 92,089 × 92,089
4. Step 4: Simplify right side
   42,085x = 8,480,383,921
5. Step 5: Solve for x
   x = 8,480,383,921/42,085
6. Step 6: Final answer
   x = 201,506.09