Finding the Third Proportional to 342.56 and 808.69

Step by Step Solution

1. Step 1: Write the proportion equation
   342.56 : 808.69 = 808.69 : x
2. Step 2: Convert to fraction form
   342.56/808.69 = 808.69/x
3. Step 3: Cross multiply
   342.56x = 808.69 × 808.69
4. Step 4: Simplify right side
   342.56x = 653,975.47
5. Step 5: Solve for x
   x = 653,975.47/342.56
6. Step 6: Final answer
   x = 1,909.07