Finding the Third Proportional to 85,233 and 186,015

Step by Step Solution

1. Step 1: Write the proportion equation
   85,233 : 186,015 = 186,015 : x
2. Step 2: Convert to fraction form
   85,233/186,015 = 186,015/x
3. Step 3: Cross multiply
   85,233x = 186,015 × 186,015
4. Step 4: Simplify right side
   85,233x = 34,601,580,225
5. Step 5: Solve for x
   x = 34,601,580,225/85,233
6. Step 6: Final answer
   x = 405,964.59