Finding the Third Proportional to 468.56 and 635.91

Step by Step Solution

1. Step 1: Write the proportion equation
   468.56 : 635.91 = 635.91 : x
2. Step 2: Convert to fraction form
   468.56/635.91 = 635.91/x
3. Step 3: Cross multiply
   468.56x = 635.91 × 635.91
4. Step 4: Simplify right side
   468.56x = 404,376.76
5. Step 5: Solve for x
   x = 404,376.76/468.56
6. Step 6: Final answer
   x = 863.02