Finding the Third Proportional to 55,658 and 123,322

Step by Step Solution

1. Step 1: Write the proportion equation
   55,658 : 123,322 = 123,322 : x
2. Step 2: Convert to fraction form
   55,658/123,322 = 123,322/x
3. Step 3: Cross multiply
   55,658x = 123,322 × 123,322
4. Step 4: Simplify right side
   55,658x = 15,208,315,684
5. Step 5: Solve for x
   x = 15,208,315,684/55,658
6. Step 6: Final answer
   x = 273,245.82