Finding the Third Proportional to 72,384 and 108,432

Step by Step Solution

1. Step 1: Write the proportion equation
   72,384 : 108,432 = 108,432 : x
2. Step 2: Convert to fraction form
   72,384/108,432 = 108,432/x
3. Step 3: Cross multiply
   72,384x = 108,432 × 108,432
4. Step 4: Simplify right side
   72,384x = 11,757,498,624
5. Step 5: Solve for x
   x = 11,757,498,624/72,384
6. Step 6: Final answer
   x = 162,432.29