Finding the Third Proportional to 42,398 and 92,086

Step by Step Solution

1. Step 1: Write the proportion equation
   42,398 : 92,086 = 92,086 : x
2. Step 2: Convert to fraction form
   42,398/92,086 = 92,086/x
3. Step 3: Cross multiply
   42,398x = 92,086 × 92,086
4. Step 4: Simplify right side
   42,398x = 8,479,831,396
5. Step 5: Solve for x
   x = 8,479,831,396/42,398
6. Step 6: Final answer
   x = 200,005.46