Finding the Third Proportional to 55,020 and 114,345

Step by Step Solution

1. Step 1: Write the proportion equation
   55,020 : 114,345 = 114,345 : x
2. Step 2: Convert to fraction form
   55,020/114,345 = 114,345/x
3. Step 3: Cross multiply
   55,020x = 114,345 × 114,345
4. Step 4: Simplify right side
   55,020x = 13,074,779,025
5. Step 5: Solve for x
   x = 13,074,779,025/55,020
6. Step 6: Final answer
   x = 237,636.84