Finding the Third Proportional to 72,384 and 109,344

Step by Step Solution

1. Step 1: Write the proportion equation
   72,384 : 109,344 = 109,344 : x
2. Step 2: Convert to fraction form
   72,384/109,344 = 109,344/x
3. Step 3: Cross multiply
   72,384x = 109,344 × 109,344
4. Step 4: Simplify right side
   72,384x = 11,956,110,336
5. Step 5: Solve for x
   x = 11,956,110,336/72,384
6. Step 6: Final answer
   x = 165,176.15