Finding the Third Proportional to 124,456.50 and 185,874.75

Step by Step Solution

1. Step 1: Write the proportion equation
   124,456.50 : 185,874.75 = 185,874.75 : x
2. Step 2: Convert to fraction form
   124,456.50/185,874.75 = 185,874.75/x
3. Step 3: Cross multiply
   124,456.50x = 185,874.75 × 185,874.75
4. Step 4: Simplify right side
   124,456.50x = 34,549,422,687.56
5. Step 5: Solve for x
   x = 34,549,422,687.56/124,456.50
6. Step 6: Final answer
   x = 277,602.40