Finding the Third Proportional to 57,740 and 90,256

Step by Step Solution

1. Step 1: Write the proportion equation
   57,740 : 90,256 = 90,256 : x
2. Step 2: Convert to fraction form
   57,740/90,256 = 90,256/x
3. Step 3: Cross multiply
   57,740x = 90,256 × 90,256
4. Step 4: Simplify right side
   57,740x = 8,146,145,536
5. Step 5: Solve for x
   x = 8,146,145,536/57,740
6. Step 6: Final answer
   x = 141,083.23