Finding the Third Proportional to 65,904 and 144,352

Step by Step Solution

1. Step 1: Write the proportion equation
   65,904 : 144,352 = 144,352 : x
2. Step 2: Convert to fraction form
   65,904/144,352 = 144,352/x
3. Step 3: Cross multiply
   65,904x = 144,352 × 144,352
4. Step 4: Simplify right side
   65,904x = 20,837,499,904
5. Step 5: Solve for x
   x = 20,837,499,904/65,904
6. Step 6: Final answer
   x = 316,179.59