Finding the Third Proportional to 152.82 and 314.51

Step by Step Solution

1. Step 1: Write the proportion equation
   152.82 : 314.51 = 314.51 : x
2. Step 2: Convert to fraction form
   152.82/314.51 = 314.51/x
3. Step 3: Cross multiply
   152.82x = 314.51 × 314.51
4. Step 4: Simplify right side
   152.82x = 98,915.16
5. Step 5: Solve for x
   x = 98,915.16/152.82
6. Step 6: Final answer
   x = 647.25