Finding the Third Proportional to 359.87 and 784.89

Step by Step Solution

1. Step 1: Write the proportion equation
   359.87 : 784.89 = 784.89 : x
2. Step 2: Convert to fraction form
   359.87/784.89 = 784.89/x
3. Step 3: Cross multiply
   359.87x = 784.89 × 784.89
4. Step 4: Simplify right side
   359.87x = 616,044.86
5. Step 5: Solve for x
   x = 616,044.86/359.87
6. Step 6: Final answer
   x = 1,711.84