Finding the Third Proportional to 56,240 and 114,096

Step by Step Solution

1. Step 1: Write the proportion equation
   56,240 : 114,096 = 114,096 : x
2. Step 2: Convert to fraction form
   56,240/114,096 = 114,096/x
3. Step 3: Cross multiply
   56,240x = 114,096 × 114,096
4. Step 4: Simplify right side
   56,240x = 13,017,897,216
5. Step 5: Solve for x
   x = 13,017,897,216/56,240
6. Step 6: Final answer
   x = 231,470.43