Finding the Third Proportional to 71,865 and 152,802

Step by Step Solution

1. Step 1: Write the proportion equation
   71,865 : 152,802 = 152,802 : x
2. Step 2: Convert to fraction form
   71,865/152,802 = 152,802/x
3. Step 3: Cross multiply
   71,865x = 152,802 × 152,802
4. Step 4: Simplify right side
   71,865x = 23,348,451,204
5. Step 5: Solve for x
   x = 23,348,451,204/71,865
6. Step 6: Final answer
   x = 324,893.22