Finding the Third Proportional to 65,878 and 142,124

Step by Step Solution

1. Step 1: Write the proportion equation
   65,878 : 142,124 = 142,124 : x
2. Step 2: Convert to fraction form
   65,878/142,124 = 142,124/x
3. Step 3: Cross multiply
   65,878x = 142,124 × 142,124
4. Step 4: Simplify right side
   65,878x = 20,199,231,376
5. Step 5: Solve for x
   x = 20,199,231,376/65,878
6. Step 6: Final answer
   x = 306,615.73