Finding the Third Proportional to 70,827 and 152,180

Step by Step Solution

1. Step 1: Write the proportion equation
   70,827 : 152,180 = 152,180 : x
2. Step 2: Convert to fraction form
   70,827/152,180 = 152,180/x
3. Step 3: Cross multiply
   70,827x = 152,180 × 152,180
4. Step 4: Simplify right side
   70,827x = 23,158,752,400
5. Step 5: Solve for x
   x = 23,158,752,400/70,827
6. Step 6: Final answer
   x = 326,976.33