Finding the Third Proportional to 178,320 and 277,002

Step by Step Solution

1. Step 1: Write the proportion equation
   178,320 : 277,002 = 277,002 : x
2. Step 2: Convert to fraction form
   178,320/277,002 = 277,002/x
3. Step 3: Cross multiply
   178,320x = 277,002 × 277,002
4. Step 4: Simplify right side
   178,320x = 76,730,108,004
5. Step 5: Solve for x
   x = 76,730,108,004/178,320
6. Step 6: Final answer
   x = 430,294.46