Finding the Third Proportional to 107,760 and 235,584

Step by Step Solution

1. Step 1: Write the proportion equation
   107,760 : 235,584 = 235,584 : x
2. Step 2: Convert to fraction form
   107,760/235,584 = 235,584/x
3. Step 3: Cross multiply
   107,760x = 235,584 × 235,584
4. Step 4: Simplify right side
   107,760x = 55,499,821,056
5. Step 5: Solve for x
   x = 55,499,821,056/107,760
6. Step 6: Final answer
   x = 515,031.75