Finding the Third Proportional to 412.69 and 695.06

Step by Step Solution

1. Step 1: Write the proportion equation
   412.69 : 695.06 = 695.06 : x
2. Step 2: Convert to fraction form
   412.69/695.06 = 695.06/x
3. Step 3: Cross multiply
   412.69x = 695.06 × 695.06
4. Step 4: Simplify right side
   412.69x = 483,111.88
5. Step 5: Solve for x
   x = 483,111.88/412.69
6. Step 6: Final answer
   x = 1,170.65