Finding the Third Proportional to 72,764 and 152,872

Step by Step Solution

1. Step 1: Write the proportion equation
   72,764 : 152,872 = 152,872 : x
2. Step 2: Convert to fraction form
   72,764/152,872 = 152,872/x
3. Step 3: Cross multiply
   72,764x = 152,872 × 152,872
4. Step 4: Simplify right side
   72,764x = 23,369,848,384
5. Step 5: Solve for x
   x = 23,369,848,384/72,764
6. Step 6: Final answer
   x = 321,173.22