Finding the Third Proportional to 72,288 and 152,352

Step by Step Solution

1. Step 1: Write the proportion equation
   72,288 : 152,352 = 152,352 : x
2. Step 2: Convert to fraction form
   72,288/152,352 = 152,352/x
3. Step 3: Cross multiply
   72,288x = 152,352 × 152,352
4. Step 4: Simplify right side
   72,288x = 23,211,131,904
5. Step 5: Solve for x
   x = 23,211,131,904/72,288
6. Step 6: Final answer
   x = 321,092.46