Finding the Third Proportional to 42,398 and 92,194

Step by Step Solution

1. Step 1: Write the proportion equation
   42,398 : 92,194 = 92,194 : x
2. Step 2: Convert to fraction form
   42,398/92,194 = 92,194/x
3. Step 3: Cross multiply
   42,398x = 92,194 × 92,194
4. Step 4: Simplify right side
   42,398x = 8,499,733,636
5. Step 5: Solve for x
   x = 8,499,733,636/42,398
6. Step 6: Final answer
   x = 200,474.87