Finding the Third Proportional to 123,726 and 185,587

Step by Step Solution

1. Step 1: Write the proportion equation
   123,726 : 185,587 = 185,587 : x
2. Step 2: Convert to fraction form
   123,726/185,587 = 185,587/x
3. Step 3: Cross multiply
   123,726x = 185,587 × 185,587
4. Step 4: Simplify right side
   123,726x = 34,442,534,569
5. Step 5: Solve for x
   x = 34,442,534,569/123,726
6. Step 6: Final answer
   x = 278,377.50