Finding the Third Proportional to 123,824 and 185,740

Step by Step Solution

1. Step 1: Write the proportion equation
   123,824 : 185,740 = 185,740 : x
2. Step 2: Convert to fraction form
   123,824/185,740 = 185,740/x
3. Step 3: Cross multiply
   123,824x = 185,740 × 185,740
4. Step 4: Simplify right side
   123,824x = 34,499,347,600
5. Step 5: Solve for x
   x = 34,499,347,600/123,824
6. Step 6: Final answer
   x = 278,616.00