Finding the Third Proportional to 55,644 and 123,297

Step by Step Solution

1. Step 1: Write the proportion equation
   55,644 : 123,297 = 123,297 : x
2. Step 2: Convert to fraction form
   55,644/123,297 = 123,297/x
3. Step 3: Cross multiply
   55,644x = 123,297 × 123,297
4. Step 4: Simplify right side
   55,644x = 15,202,150,209
5. Step 5: Solve for x
   x = 15,202,150,209/55,644
6. Step 6: Final answer
   x = 273,203.76