Finding the Third Proportional to 92,164 and 188,216

Step by Step Solution

1. Step 1: Write the proportion equation
   92,164 : 188,216 = 188,216 : x
2. Step 2: Convert to fraction form
   92,164/188,216 = 188,216/x
3. Step 3: Cross multiply
   92,164x = 188,216 × 188,216
4. Step 4: Simplify right side
   92,164x = 35,425,262,656
5. Step 5: Solve for x
   x = 35,425,262,656/92,164
6. Step 6: Final answer
   x = 384,372.02