Finding the Third Proportional to 121,425 and 182,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,425 : 182,947.50 = 182,947.50 : x
2. Step 2: Convert to fraction form
   121,425/182,947.50 = 182,947.50/x
3. Step 3: Cross multiply
   121,425x = 182,947.50 × 182,947.50
4. Step 4: Simplify right side
   121,425x = 33,469,787,756.25
5. Step 5: Solve for x
   x = 33,469,787,756.25/121,425
6. Step 6: Final answer
   x = 275,641.65