Finding the Third Proportional to 92,371 and 199,162

Step by Step Solution

1. Step 1: Write the proportion equation
   92,371 : 199,162 = 199,162 : x
2. Step 2: Convert to fraction form
   92,371/199,162 = 199,162/x
3. Step 3: Cross multiply
   92,371x = 199,162 × 199,162
4. Step 4: Simplify right side
   92,371x = 39,665,502,244
5. Step 5: Solve for x
   x = 39,665,502,244/92,371
6. Step 6: Final answer
   x = 429,415.10