Finding the Third Proportional to 105,851 and 150,460

Step by Step Solution

1. Step 1: Write the proportion equation
   105,851 : 150,460 = 150,460 : x
2. Step 2: Convert to fraction form
   105,851/150,460 = 150,460/x
3. Step 3: Cross multiply
   105,851x = 150,460 × 150,460
4. Step 4: Simplify right side
   105,851x = 22,638,211,600
5. Step 5: Solve for x
   x = 22,638,211,600/105,851
6. Step 6: Final answer
   x = 213,868.66