Finding the Third Proportional to 42,401 and 92,091

Step by Step Solution

1. Step 1: Write the proportion equation
   42,401 : 92,091 = 92,091 : x
2. Step 2: Convert to fraction form
   42,401/92,091 = 92,091/x
3. Step 3: Cross multiply
   42,401x = 92,091 × 92,091
4. Step 4: Simplify right side
   42,401x = 8,480,752,281
5. Step 5: Solve for x
   x = 8,480,752,281/42,401
6. Step 6: Final answer
   x = 200,013.03