Finding the Third Proportional to 65,876 and 155,444

Step by Step Solution

1. Step 1: Write the proportion equation
   65,876 : 155,444 = 155,444 : x
2. Step 2: Convert to fraction form
   65,876/155,444 = 155,444/x
3. Step 3: Cross multiply
   65,876x = 155,444 × 155,444
4. Step 4: Simplify right side
   65,876x = 24,162,837,136
5. Step 5: Solve for x
   x = 24,162,837,136/65,876
6. Step 6: Final answer
   x = 366,792.72