Finding the Third Proportional to 70,776 and 154,678

Step by Step Solution

1. Step 1: Write the proportion equation
   70,776 : 154,678 = 154,678 : x
2. Step 2: Convert to fraction form
   70,776/154,678 = 154,678/x
3. Step 3: Cross multiply
   70,776x = 154,678 × 154,678
4. Step 4: Simplify right side
   70,776x = 23,925,283,684
5. Step 5: Solve for x
   x = 23,925,283,684/70,776
6. Step 6: Final answer
   x = 338,042.33