Finding the Third Proportional to 468.31 and 674.63

Step by Step Solution

1. Step 1: Write the proportion equation
   468.31 : 674.63 = 674.63 : x
2. Step 2: Convert to fraction form
   468.31/674.63 = 674.63/x
3. Step 3: Cross multiply
   468.31x = 674.63 × 674.63
4. Step 4: Simplify right side
   468.31x = 455,118.89
5. Step 5: Solve for x
   x = 455,118.89/468.31
6. Step 6: Final answer
   x = 971.83