Finding the Third Proportional to 65,691 and 144,505

Step by Step Solution

1. Step 1: Write the proportion equation
   65,691 : 144,505 = 144,505 : x
2. Step 2: Convert to fraction form
   65,691/144,505 = 144,505/x
3. Step 3: Cross multiply
   65,691x = 144,505 × 144,505
4. Step 4: Simplify right side
   65,691x = 20,881,695,025
5. Step 5: Solve for x
   x = 20,881,695,025/65,691
6. Step 6: Final answer
   x = 317,877.56