Finding the Third Proportional to 42,401 and 91,786

Step by Step Solution

1. Step 1: Write the proportion equation
   42,401 : 91,786 = 91,786 : x
2. Step 2: Convert to fraction form
   42,401/91,786 = 91,786/x
3. Step 3: Cross multiply
   42,401x = 91,786 × 91,786
4. Step 4: Simplify right side
   42,401x = 8,424,669,796
5. Step 5: Solve for x
   x = 8,424,669,796/42,401
6. Step 6: Final answer
   x = 198,690.36