Finding the Third Proportional to 55,758 and 87,456

Step by Step Solution

1. Step 1: Write the proportion equation
   55,758 : 87,456 = 87,456 : x
2. Step 2: Convert to fraction form
   55,758/87,456 = 87,456/x
3. Step 3: Cross multiply
   55,758x = 87,456 × 87,456
4. Step 4: Simplify right side
   55,758x = 7,648,551,936
5. Step 5: Solve for x
   x = 7,648,551,936/55,758
6. Step 6: Final answer
   x = 137,174.07