Finding the Third Proportional to 85,012 and 186,184

Step by Step Solution

1. Step 1: Write the proportion equation
   85,012 : 186,184 = 186,184 : x
2. Step 2: Convert to fraction form
   85,012/186,184 = 186,184/x
3. Step 3: Cross multiply
   85,012x = 186,184 × 186,184
4. Step 4: Simplify right side
   85,012x = 34,664,481,856
5. Step 5: Solve for x
   x = 34,664,481,856/85,012
6. Step 6: Final answer
   x = 407,759.87