Finding the Third Proportional to 359.77 and 784.58

Step by Step Solution

1. Step 1: Write the proportion equation
   359.77 : 784.58 = 784.58 : x
2. Step 2: Convert to fraction form
   359.77/784.58 = 784.58/x
3. Step 3: Cross multiply
   359.77x = 784.58 × 784.58
4. Step 4: Simplify right side
   359.77x = 615,562.83
5. Step 5: Solve for x
   x = 615,562.83/359.77
6. Step 6: Final answer
   x = 1,711.01