Finding the Third Proportional to 85,772 and 188,995

Step by Step Solution

1. Step 1: Write the proportion equation
   85,772 : 188,995 = 188,995 : x
2. Step 2: Convert to fraction form
   85,772/188,995 = 188,995/x
3. Step 3: Cross multiply
   85,772x = 188,995 × 188,995
4. Step 4: Simplify right side
   85,772x = 35,719,110,025
5. Step 5: Solve for x
   x = 35,719,110,025/85,772
6. Step 6: Final answer
   x = 416,442.55