Finding the Third Proportional to 109,344 and 160,308

Step by Step Solution

1. Step 1: Write the proportion equation
   109,344 : 160,308 = 160,308 : x
2. Step 2: Convert to fraction form
   109,344/160,308 = 160,308/x
3. Step 3: Cross multiply
   109,344x = 160,308 × 160,308
4. Step 4: Simplify right side
   109,344x = 25,698,654,864
5. Step 5: Solve for x
   x = 25,698,654,864/109,344
6. Step 6: Final answer
   x = 235,025.74