Finding the Third Proportional to 345.69 and 535.31

Step by Step Solution

1. Step 1: Write the proportion equation
   345.69 : 535.31 = 535.31 : x
2. Step 2: Convert to fraction form
   345.69/535.31 = 535.31/x
3. Step 3: Cross multiply
   345.69x = 535.31 × 535.31
4. Step 4: Simplify right side
   345.69x = 286,559.47
5. Step 5: Solve for x
   x = 286,559.47/345.69
6. Step 6: Final answer
   x = 828.96