Finding the Third Proportional to 85,019 and 186,199

Step by Step Solution

1. Step 1: Write the proportion equation
   85,019 : 186,199 = 186,199 : x
2. Step 2: Convert to fraction form
   85,019/186,199 = 186,199/x
3. Step 3: Cross multiply
   85,019x = 186,199 × 186,199
4. Step 4: Simplify right side
   85,019x = 34,670,067,601
5. Step 5: Solve for x
   x = 34,670,067,601/85,019
6. Step 6: Final answer
   x = 407,791.99