Finding the Third Proportional to 65,729 and 141,634

Step by Step Solution

1. Step 1: Write the proportion equation
   65,729 : 141,634 = 141,634 : x
2. Step 2: Convert to fraction form
   65,729/141,634 = 141,634/x
3. Step 3: Cross multiply
   65,729x = 141,634 × 141,634
4. Step 4: Simplify right side
   65,729x = 20,060,189,956
5. Step 5: Solve for x
   x = 20,060,189,956/65,729
6. Step 6: Final answer
   x = 305,195.42