Finding the Third Proportional to 121,408.50 and 182,111.25

Step by Step Solution

1. Step 1: Write the proportion equation
   121,408.50 : 182,111.25 = 182,111.25 : x
2. Step 2: Convert to fraction form
   121,408.50/182,111.25 = 182,111.25/x
3. Step 3: Cross multiply
   121,408.50x = 182,111.25 × 182,111.25
4. Step 4: Simplify right side
   121,408.50x = 33,164,507,376.56
5. Step 5: Solve for x
   x = 33,164,507,376.56/121,408.50
6. Step 6: Final answer
   x = 273,164.63