Finding the Third Proportional to 55,665 and 131,328

Step by Step Solution

1. Step 1: Write the proportion equation
   55,665 : 131,328 = 131,328 : x
2. Step 2: Convert to fraction form
   55,665/131,328 = 131,328/x
3. Step 3: Cross multiply
   55,665x = 131,328 × 131,328
4. Step 4: Simplify right side
   55,665x = 17,247,043,584
5. Step 5: Solve for x
   x = 17,247,043,584/55,665
6. Step 6: Final answer
   x = 309,836.41