Finding the Third Proportional to 69,434 and 154,996

Step by Step Solution

1. Step 1: Write the proportion equation
   69,434 : 154,996 = 154,996 : x
2. Step 2: Convert to fraction form
   69,434/154,996 = 154,996/x
3. Step 3: Cross multiply
   69,434x = 154,996 × 154,996
4. Step 4: Simplify right side
   69,434x = 24,023,760,016
5. Step 5: Solve for x
   x = 24,023,760,016/69,434
6. Step 6: Final answer
   x = 345,994.18