Finding the Third Proportional to 274,020 and 429,966

Step by Step Solution

1. Step 1: Write the proportion equation
   274,020 : 429,966 = 429,966 : x
2. Step 2: Convert to fraction form
   274,020/429,966 = 429,966/x
3. Step 3: Cross multiply
   274,020x = 429,966 × 429,966
4. Step 4: Simplify right side
   274,020x = 184,870,761,156
5. Step 5: Solve for x
   x = 184,870,761,156/274,020
6. Step 6: Final answer
   x = 674,661.56