Finding the Third Proportional to 274,016 and 429,960

Step by Step Solution

1. Step 1: Write the proportion equation
   274,016 : 429,960 = 429,960 : x
2. Step 2: Convert to fraction form
   274,016/429,960 = 429,960/x
3. Step 3: Cross multiply
   274,016x = 429,960 × 429,960
4. Step 4: Simplify right side
   274,016x = 184,865,601,600
5. Step 5: Solve for x
   x = 184,865,601,600/274,016
6. Step 6: Final answer
   x = 674,652.58