Finding the Third Proportional to 85,230 and 186,012

Step by Step Solution

1. Step 1: Write the proportion equation
   85,230 : 186,012 = 186,012 : x
2. Step 2: Convert to fraction form
   85,230/186,012 = 186,012/x
3. Step 3: Cross multiply
   85,230x = 186,012 × 186,012
4. Step 4: Simplify right side
   85,230x = 34,600,464,144
5. Step 5: Solve for x
   x = 34,600,464,144/85,230
6. Step 6: Final answer
   x = 405,965.79