Finding the Third Proportional to 70,777 and 154,680

Step by Step Solution

1. Step 1: Write the proportion equation
   70,777 : 154,680 = 154,680 : x
2. Step 2: Convert to fraction form
   70,777/154,680 = 154,680/x
3. Step 3: Cross multiply
   70,777x = 154,680 × 154,680
4. Step 4: Simplify right side
   70,777x = 23,925,902,400
5. Step 5: Solve for x
   x = 23,925,902,400/70,777
6. Step 6: Final answer
   x = 338,046.29