Finding the Third Proportional to 85,858 and 186,007

Step by Step Solution

1. Step 1: Write the proportion equation
   85,858 : 186,007 = 186,007 : x
2. Step 2: Convert to fraction form
   85,858/186,007 = 186,007/x
3. Step 3: Cross multiply
   85,858x = 186,007 × 186,007
4. Step 4: Simplify right side
   85,858x = 34,598,604,049
5. Step 5: Solve for x
   x = 34,598,604,049/85,858
6. Step 6: Final answer
   x = 402,974.73