Finding the Third Proportional to 80,563.50 and 121,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,563.50 : 121,333.50 = 121,333.50 : x
2. Step 2: Convert to fraction form
   80,563.50/121,333.50 = 121,333.50/x
3. Step 3: Cross multiply
   80,563.50x = 121,333.50 × 121,333.50
4. Step 4: Simplify right side
   80,563.50x = 14,721,818,222.25
5. Step 5: Solve for x
   x = 14,721,818,222.25/80,563.50
6. Step 6: Final answer
   x = 182,735.58