Finding the Third Proportional to 194,698.69 and 284,392.69

Step by Step Solution

1. Step 1: Write the proportion equation
   194,698.69 : 284,392.69 = 284,392.69 : x
2. Step 2: Convert to fraction form
   194,698.69/284,392.69 = 284,392.69/x
3. Step 3: Cross multiply
   194,698.69x = 284,392.69 × 284,392.69
4. Step 4: Simplify right side
   194,698.69x = 80,879,200,703.47
5. Step 5: Solve for x
   x = 80,879,200,703.47/194,698.69
6. Step 6: Final answer
   x = 415,407.02