Finding the Third Proportional to 65,374 and 100,996

Step by Step Solution

1. Step 1: Write the proportion equation
   65,374 : 100,996 = 100,996 : x
2. Step 2: Convert to fraction form
   65,374/100,996 = 100,996/x
3. Step 3: Cross multiply
   65,374x = 100,996 × 100,996
4. Step 4: Simplify right side
   65,374x = 10,200,192,016
5. Step 5: Solve for x
   x = 10,200,192,016/65,374
6. Step 6: Final answer
   x = 156,028.27