Finding the Third Proportional to 178,321.50 and 277,004

Step by Step Solution

1. Step 1: Write the proportion equation
   178,321.50 : 277,004 = 277,004 : x
2. Step 2: Convert to fraction form
   178,321.50/277,004 = 277,004/x
3. Step 3: Cross multiply
   178,321.50x = 277,004 × 277,004
4. Step 4: Simplify right side
   178,321.50x = 76,731,216,016
5. Step 5: Solve for x
   x = 76,731,216,016/178,321.50
6. Step 6: Final answer
   x = 430,297.05