Finding the Third Proportional to 85,710 and 186,036

Step by Step Solution

1. Step 1: Write the proportion equation
   85,710 : 186,036 = 186,036 : x
2. Step 2: Convert to fraction form
   85,710/186,036 = 186,036/x
3. Step 3: Cross multiply
   85,710x = 186,036 × 186,036
4. Step 4: Simplify right side
   85,710x = 34,609,393,296
5. Step 5: Solve for x
   x = 34,609,393,296/85,710
6. Step 6: Final answer
   x = 403,796.44