Finding the Third Proportional to 784.69 and 896.06

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 896.06 = 896.06 : x
2. Step 2: Convert to fraction form
   784.69/896.06 = 896.06/x
3. Step 3: Cross multiply
   784.69x = 896.06 × 896.06
4. Step 4: Simplify right side
   784.69x = 802,928.00
5. Step 5: Solve for x
   x = 802,928.00/784.69
6. Step 6: Final answer
   x = 1,023.25