Finding the Third Proportional to 92,142 and 188,172

Step by Step Solution

1. Step 1: Write the proportion equation
   92,142 : 188,172 = 188,172 : x
2. Step 2: Convert to fraction form
   92,142/188,172 = 188,172/x
3. Step 3: Cross multiply
   92,142x = 188,172 × 188,172
4. Step 4: Simplify right side
   92,142x = 35,408,701,584
5. Step 5: Solve for x
   x = 35,408,701,584/92,142
6. Step 6: Final answer
   x = 384,284.06