Finding the Third Proportional to 384.96 and 784.05

Step by Step Solution

1. Step 1: Write the proportion equation
   384.96 : 784.05 = 784.05 : x
2. Step 2: Convert to fraction form
   384.96/784.05 = 784.05/x
3. Step 3: Cross multiply
   384.96x = 784.05 × 784.05
4. Step 4: Simplify right side
   384.96x = 614,741.75
5. Step 5: Solve for x
   x = 614,741.75/384.96
6. Step 6: Final answer
   x = 1,596.89