Finding the Third Proportional to 106,848 and 151,872

Step by Step Solution

1. Step 1: Write the proportion equation
   106,848 : 151,872 = 151,872 : x
2. Step 2: Convert to fraction form
   106,848/151,872 = 151,872/x
3. Step 3: Cross multiply
   106,848x = 151,872 × 151,872
4. Step 4: Simplify right side
   106,848x = 23,065,104,384
5. Step 5: Solve for x
   x = 23,065,104,384/106,848
6. Step 6: Final answer
   x = 215,868.38