Finding the Third Proportional to 121,549.50 and 184,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   121,549.50 : 184,002.75 = 184,002.75 : x
2. Step 2: Convert to fraction form
   121,549.50/184,002.75 = 184,002.75/x
3. Step 3: Cross multiply
   121,549.50x = 184,002.75 × 184,002.75
4. Step 4: Simplify right side
   121,549.50x = 33,857,012,007.56
5. Step 5: Solve for x
   x = 33,857,012,007.56/121,549.50
6. Step 6: Final answer
   x = 278,545.05