Finding the Third Proportional to 92,971 and 191,443

Step by Step Solution

1. Step 1: Write the proportion equation
   92,971 : 191,443 = 191,443 : x
2. Step 2: Convert to fraction form
   92,971/191,443 = 191,443/x
3. Step 3: Cross multiply
   92,971x = 191,443 × 191,443
4. Step 4: Simplify right side
   92,971x = 36,650,422,249
5. Step 5: Solve for x
   x = 36,650,422,249/92,971
6. Step 6: Final answer
   x = 394,213.49