Finding the Third Proportional to 463.69 and 615.56

Step by Step Solution

1. Step 1: Write the proportion equation
   463.69 : 615.56 = 615.56 : x
2. Step 2: Convert to fraction form
   463.69/615.56 = 615.56/x
3. Step 3: Cross multiply
   463.69x = 615.56 × 615.56
4. Step 4: Simplify right side
   463.69x = 378,917.19
5. Step 5: Solve for x
   x = 378,917.19/463.69
6. Step 6: Final answer
   x = 817.18