Finding the Third Proportional to 121,830 and 182,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,830 : 182,745.50 = 182,745.50 : x
2. Step 2: Convert to fraction form
   121,830/182,745.50 = 182,745.50/x
3. Step 3: Cross multiply
   121,830x = 182,745.50 × 182,745.50
4. Step 4: Simplify right side
   121,830x = 33,395,917,770.25
5. Step 5: Solve for x
   x = 33,395,917,770.25/121,830
6. Step 6: Final answer
   x = 274,119.00