Finding the Third Proportional to 178,320.38 and 277,002.63

Step by Step Solution

1. Step 1: Write the proportion equation
   178,320.38 : 277,002.63 = 277,002.63 : x
2. Step 2: Convert to fraction form
   178,320.38/277,002.63 = 277,002.63/x
3. Step 3: Cross multiply
   178,320.38x = 277,002.63 × 277,002.63
4. Step 4: Simplify right side
   178,320.38x = 76,730,454,256.89
5. Step 5: Solve for x
   x = 76,730,454,256.89/178,320.38
6. Step 6: Final answer
   x = 430,295.50