Finding the Third Proportional to 65,591 and 144,964

Step by Step Solution

1. Step 1: Write the proportion equation
   65,591 : 144,964 = 144,964 : x
2. Step 2: Convert to fraction form
   65,591/144,964 = 144,964/x
3. Step 3: Cross multiply
   65,591x = 144,964 × 144,964
4. Step 4: Simplify right side
   65,591x = 21,014,561,296
5. Step 5: Solve for x
   x = 21,014,561,296/65,591
6. Step 6: Final answer
   x = 320,387.88