Finding the Third Proportional to 55,698 and 123,819

Step by Step Solution

1. Step 1: Write the proportion equation
   55,698 : 123,819 = 123,819 : x
2. Step 2: Convert to fraction form
   55,698/123,819 = 123,819/x
3. Step 3: Cross multiply
   55,698x = 123,819 × 123,819
4. Step 4: Simplify right side
   55,698x = 15,331,144,761
5. Step 5: Solve for x
   x = 15,331,144,761/55,698
6. Step 6: Final answer
   x = 275,254.85