Finding the Third Proportional to 101,996 and 155,916

Step by Step Solution

1. Step 1: Write the proportion equation
   101,996 : 155,916 = 155,916 : x
2. Step 2: Convert to fraction form
   101,996/155,916 = 155,916/x
3. Step 3: Cross multiply
   101,996x = 155,916 × 155,916
4. Step 4: Simplify right side
   101,996x = 24,309,799,056
5. Step 5: Solve for x
   x = 24,309,799,056/101,996
6. Step 6: Final answer
   x = 238,340.71