Finding the Third Proportional to 65,484 and 142,963

Step by Step Solution

1. Step 1: Write the proportion equation
   65,484 : 142,963 = 142,963 : x
2. Step 2: Convert to fraction form
   65,484/142,963 = 142,963/x
3. Step 3: Cross multiply
   65,484x = 142,963 × 142,963
4. Step 4: Simplify right side
   65,484x = 20,438,419,369
5. Step 5: Solve for x
   x = 20,438,419,369/65,484
6. Step 6: Final answer
   x = 312,113.18