Finding the Third Proportional to 102,672 and 150,684

Step by Step Solution

1. Step 1: Write the proportion equation
   102,672 : 150,684 = 150,684 : x
2. Step 2: Convert to fraction form
   102,672/150,684 = 150,684/x
3. Step 3: Cross multiply
   102,672x = 150,684 × 150,684
4. Step 4: Simplify right side
   102,672x = 22,705,667,856
5. Step 5: Solve for x
   x = 22,705,667,856/102,672
6. Step 6: Final answer
   x = 221,147.61