Finding the Third Proportional to 70,565 and 154,666

Step by Step Solution

1. Step 1: Write the proportion equation
   70,565 : 154,666 = 154,666 : x
2. Step 2: Convert to fraction form
   70,565/154,666 = 154,666/x
3. Step 3: Cross multiply
   70,565x = 154,666 × 154,666
4. Step 4: Simplify right side
   70,565x = 23,921,571,556
5. Step 5: Solve for x
   x = 23,921,571,556/70,565
6. Step 6: Final answer
   x = 339,000.52