Finding the Third Proportional to 70,784 and 154,704

Step by Step Solution

1. Step 1: Write the proportion equation
   70,784 : 154,704 = 154,704 : x
2. Step 2: Convert to fraction form
   70,784/154,704 = 154,704/x
3. Step 3: Cross multiply
   70,784x = 154,704 × 154,704
4. Step 4: Simplify right side
   70,784x = 23,933,327,616
5. Step 5: Solve for x
   x = 23,933,327,616/70,784
6. Step 6: Final answer
   x = 338,117.76