Finding the Third Proportional to 65,776 and 144,674

Step by Step Solution

1. Step 1: Write the proportion equation
   65,776 : 144,674 = 144,674 : x
2. Step 2: Convert to fraction form
   65,776/144,674 = 144,674/x
3. Step 3: Cross multiply
   65,776x = 144,674 × 144,674
4. Step 4: Simplify right side
   65,776x = 20,930,566,276
5. Step 5: Solve for x
   x = 20,930,566,276/65,776
6. Step 6: Final answer
   x = 318,209.78