Finding the Third Proportional to 123,816 and 185,726

Step by Step Solution

1. Step 1: Write the proportion equation
   123,816 : 185,726 = 185,726 : x
2. Step 2: Convert to fraction form
   123,816/185,726 = 185,726/x
3. Step 3: Cross multiply
   123,816x = 185,726 × 185,726
4. Step 4: Simplify right side
   123,816x = 34,494,147,076
5. Step 5: Solve for x
   x = 34,494,147,076/123,816
6. Step 6: Final answer
   x = 278,592.00