Finding the Third Proportional to 65,406 and 141,648

Step by Step Solution

1. Step 1: Write the proportion equation
   65,406 : 141,648 = 141,648 : x
2. Step 2: Convert to fraction form
   65,406/141,648 = 141,648/x
3. Step 3: Cross multiply
   65,406x = 141,648 × 141,648
4. Step 4: Simplify right side
   65,406x = 20,064,155,904
5. Step 5: Solve for x
   x = 20,064,155,904/65,406
6. Step 6: Final answer
   x = 306,763.23