Finding the Third Proportional to 85,232 and 186,016

Step by Step Solution

1. Step 1: Write the proportion equation
   85,232 : 186,016 = 186,016 : x
2. Step 2: Convert to fraction form
   85,232/186,016 = 186,016/x
3. Step 3: Cross multiply
   85,232x = 186,016 × 186,016
4. Step 4: Simplify right side
   85,232x = 34,601,952,256
5. Step 5: Solve for x
   x = 34,601,952,256/85,232
6. Step 6: Final answer
   x = 405,973.72