Finding the Third Proportional to 542,016 and 805,164

Step by Step Solution

1. Step 1: Write the proportion equation
   542,016 : 805,164 = 805,164 : x
2. Step 2: Convert to fraction form
   542,016/805,164 = 805,164/x
3. Step 3: Cross multiply
   542,016x = 805,164 × 805,164
4. Step 4: Simplify right side
   542,016x = 648,289,066,896
5. Step 5: Solve for x
   x = 648,289,066,896/542,016
6. Step 6: Final answer
   x = 1,196,069.98