Finding the Third Proportional to 124,077 and 185,619.75

Step by Step Solution

1. Step 1: Write the proportion equation
   124,077 : 185,619.75 = 185,619.75 : x
2. Step 2: Convert to fraction form
   124,077/185,619.75 = 185,619.75/x
3. Step 3: Cross multiply
   124,077x = 185,619.75 × 185,619.75
4. Step 4: Simplify right side
   124,077x = 34,454,691,590.06
5. Step 5: Solve for x
   x = 34,454,691,590.06/124,077
6. Step 6: Final answer
   x = 277,687.98