Finding the Third Proportional to 55,454 and 114,172

Step by Step Solution

1. Step 1: Write the proportion equation
   55,454 : 114,172 = 114,172 : x
2. Step 2: Convert to fraction form
   55,454/114,172 = 114,172/x
3. Step 3: Cross multiply
   55,454x = 114,172 × 114,172
4. Step 4: Simplify right side
   55,454x = 13,035,245,584
5. Step 5: Solve for x
   x = 13,035,245,584/55,454
6. Step 6: Final answer
   x = 235,064.12