Finding the Third Proportional to 33,932.25 and 80,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,932.25 : 80,230.50 = 80,230.50 : x
2. Step 2: Convert to fraction form
   33,932.25/80,230.50 = 80,230.50/x
3. Step 3: Cross multiply
   33,932.25x = 80,230.50 × 80,230.50
4. Step 4: Simplify right side
   33,932.25x = 6,436,933,130.25
5. Step 5: Solve for x
   x = 6,436,933,130.25/33,932.25
6. Step 6: Final answer
   x = 189,699.57