Finding the Third Proportional to 70,784 and 154,696

Step by Step Solution

1. Step 1: Write the proportion equation
   70,784 : 154,696 = 154,696 : x
2. Step 2: Convert to fraction form
   70,784/154,696 = 154,696/x
3. Step 3: Cross multiply
   70,784x = 154,696 × 154,696
4. Step 4: Simplify right side
   70,784x = 23,930,852,416
5. Step 5: Solve for x
   x = 23,930,852,416/70,784
6. Step 6: Final answer
   x = 338,082.79