Finding the Third Proportional to 178,480 and 287,016

Step by Step Solution

1. Step 1: Write the proportion equation
   178,480 : 287,016 = 287,016 : x
2. Step 2: Convert to fraction form
   178,480/287,016 = 287,016/x
3. Step 3: Cross multiply
   178,480x = 287,016 × 287,016
4. Step 4: Simplify right side
   178,480x = 82,378,184,256
5. Step 5: Solve for x
   x = 82,378,184,256/178,480
6. Step 6: Final answer
   x = 461,554.15