Finding the Third Proportional to 55,922 and 114,436

Step by Step Solution

1. Step 1: Write the proportion equation
   55,922 : 114,436 = 114,436 : x
2. Step 2: Convert to fraction form
   55,922/114,436 = 114,436/x
3. Step 3: Cross multiply
   55,922x = 114,436 × 114,436
4. Step 4: Simplify right side
   55,922x = 13,095,598,096
5. Step 5: Solve for x
   x = 13,095,598,096/55,922
6. Step 6: Final answer
   x = 234,176.14