Finding the Third Proportional to 174,880.69 and 256,582.69

Step by Step Solution

1. Step 1: Write the proportion equation
   174,880.69 : 256,582.69 = 256,582.69 : x
2. Step 2: Convert to fraction form
   174,880.69/256,582.69 = 256,582.69/x
3. Step 3: Cross multiply
   174,880.69x = 256,582.69 × 256,582.69
4. Step 4: Simplify right side
   174,880.69x = 65,834,675,524.72
5. Step 5: Solve for x
   x = 65,834,675,524.72/174,880.69
6. Step 6: Final answer
   x = 376,454.81