Finding the Third Proportional to 70,766 and 154,658

Step by Step Solution

1. Step 1: Write the proportion equation
   70,766 : 154,658 = 154,658 : x
2. Step 2: Convert to fraction form
   70,766/154,658 = 154,658/x
3. Step 3: Cross multiply
   70,766x = 154,658 × 154,658
4. Step 4: Simplify right side
   70,766x = 23,919,096,964
5. Step 5: Solve for x
   x = 23,919,096,964/70,766
6. Step 6: Final answer
   x = 338,002.67