Finding the Third Proportional to 70,782 and 154,692

Step by Step Solution

1. Step 1: Write the proportion equation
   70,782 : 154,692 = 154,692 : x
2. Step 2: Convert to fraction form
   70,782/154,692 = 154,692/x
3. Step 3: Cross multiply
   70,782x = 154,692 × 154,692
4. Step 4: Simplify right side
   70,782x = 23,929,614,864
5. Step 5: Solve for x
   x = 23,929,614,864/70,782
6. Step 6: Final answer
   x = 338,074.86