Finding the Third Proportional to 65,882 and 150,854

Step by Step Solution

1. Step 1: Write the proportion equation
   65,882 : 150,854 = 150,854 : x
2. Step 2: Convert to fraction form
   65,882/150,854 = 150,854/x
3. Step 3: Cross multiply
   65,882x = 150,854 × 150,854
4. Step 4: Simplify right side
   65,882x = 22,756,929,316
5. Step 5: Solve for x
   x = 22,756,929,316/65,882
6. Step 6: Final answer
   x = 345,419.53