Finding the Third Proportional to 55,760 and 114,236

Step by Step Solution

1. Step 1: Write the proportion equation
   55,760 : 114,236 = 114,236 : x
2. Step 2: Convert to fraction form
   55,760/114,236 = 114,236/x
3. Step 3: Cross multiply
   55,760x = 114,236 × 114,236
4. Step 4: Simplify right side
   55,760x = 13,049,863,696
5. Step 5: Solve for x
   x = 13,049,863,696/55,760
6. Step 6: Final answer
   x = 234,036.29