Finding the Third Proportional to 42,365 and 92,108

Step by Step Solution

1. Step 1: Write the proportion equation
   42,365 : 92,108 = 92,108 : x
2. Step 2: Convert to fraction form
   42,365/92,108 = 92,108/x
3. Step 3: Cross multiply
   42,365x = 92,108 × 92,108
4. Step 4: Simplify right side
   42,365x = 8,483,883,664
5. Step 5: Solve for x
   x = 8,483,883,664/42,365
6. Step 6: Final answer
   x = 200,256.90