Finding the Third Proportional to 341.16 and 514.83

Step by Step Solution

1. Step 1: Write the proportion equation
   341.16 : 514.83 = 514.83 : x
2. Step 2: Convert to fraction form
   341.16/514.83 = 514.83/x
3. Step 3: Cross multiply
   341.16x = 514.83 × 514.83
4. Step 4: Simplify right side
   341.16x = 265,048.00
5. Step 5: Solve for x
   x = 265,048.00/341.16
6. Step 6: Final answer
   x = 776.91