Finding the Third Proportional to 154,967 and 333,565

Step by Step Solution

1. Step 1: Write the proportion equation
   154,967 : 333,565 = 333,565 : x
2. Step 2: Convert to fraction form
   154,967/333,565 = 333,565/x
3. Step 3: Cross multiply
   154,967x = 333,565 × 333,565
4. Step 4: Simplify right side
   154,967x = 111,265,609,225
5. Step 5: Solve for x
   x = 111,265,609,225/154,967
6. Step 6: Final answer
   x = 717,995.50