Finding the Third Proportional to 107,680 and 150,892

Step by Step Solution

1. Step 1: Write the proportion equation
   107,680 : 150,892 = 150,892 : x
2. Step 2: Convert to fraction form
   107,680/150,892 = 150,892/x
3. Step 3: Cross multiply
   107,680x = 150,892 × 150,892
4. Step 4: Simplify right side
   107,680x = 22,768,395,664
5. Step 5: Solve for x
   x = 22,768,395,664/107,680
6. Step 6: Final answer
   x = 211,444.98