Finding the Third Proportional to 65,483 and 142,961

Step by Step Solution

1. Step 1: Write the proportion equation
   65,483 : 142,961 = 142,961 : x
2. Step 2: Convert to fraction form
   65,483/142,961 = 142,961/x
3. Step 3: Cross multiply
   65,483x = 142,961 × 142,961
4. Step 4: Simplify right side
   65,483x = 20,437,847,521
5. Step 5: Solve for x
   x = 20,437,847,521/65,483
6. Step 6: Final answer
   x = 312,109.21