Finding the Third Proportional to 710.30 and 784.55

Step by Step Solution

1. Step 1: Write the proportion equation
   710.30 : 784.55 = 784.55 : x
2. Step 2: Convert to fraction form
   710.30/784.55 = 784.55/x
3. Step 3: Cross multiply
   710.30x = 784.55 × 784.55
4. Step 4: Simplify right side
   710.30x = 615,513.80
5. Step 5: Solve for x
   x = 615,513.80/710.30
6. Step 6: Final answer
   x = 866.56