Finding the Third Proportional to 55,354 and 114,645

Step by Step Solution

1. Step 1: Write the proportion equation
   55,354 : 114,645 = 114,645 : x
2. Step 2: Convert to fraction form
   55,354/114,645 = 114,645/x
3. Step 3: Cross multiply
   55,354x = 114,645 × 114,645
4. Step 4: Simplify right side
   55,354x = 13,143,476,025
5. Step 5: Solve for x
   x = 13,143,476,025/55,354
6. Step 6: Final answer
   x = 237,444.02