Finding the Third Proportional to 87,164 and 188,152

Step by Step Solution

1. Step 1: Write the proportion equation
   87,164 : 188,152 = 188,152 : x
2. Step 2: Convert to fraction form
   87,164/188,152 = 188,152/x
3. Step 3: Cross multiply
   87,164x = 188,152 × 188,152
4. Step 4: Simplify right side
   87,164x = 35,401,175,104
5. Step 5: Solve for x
   x = 35,401,175,104/87,164
6. Step 6: Final answer
   x = 406,144.45