Finding the Third Proportional to 69,808 and 155,096

Step by Step Solution

1. Step 1: Write the proportion equation
   69,808 : 155,096 = 155,096 : x
2. Step 2: Convert to fraction form
   69,808/155,096 = 155,096/x
3. Step 3: Cross multiply
   69,808x = 155,096 × 155,096
4. Step 4: Simplify right side
   69,808x = 24,054,769,216
5. Step 5: Solve for x
   x = 24,054,769,216/69,808
6. Step 6: Final answer
   x = 344,584.71