Finding the Third Proportional to 121,282 and 180,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,282 : 180,736.50 = 180,736.50 : x
2. Step 2: Convert to fraction form
   121,282/180,736.50 = 180,736.50/x
3. Step 3: Cross multiply
   121,282x = 180,736.50 × 180,736.50
4. Step 4: Simplify right side
   121,282x = 32,665,682,432.25
5. Step 5: Solve for x
   x = 32,665,682,432.25/121,282
6. Step 6: Final answer
   x = 269,336.61