Finding the Third Proportional to 33,772 and 78,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,772 : 78,182.50 = 78,182.50 : x
2. Step 2: Convert to fraction form
   33,772/78,182.50 = 78,182.50/x
3. Step 3: Cross multiply
   33,772x = 78,182.50 × 78,182.50
4. Step 4: Simplify right side
   33,772x = 6,112,503,306.25
5. Step 5: Solve for x
   x = 6,112,503,306.25/33,772
6. Step 6: Final answer
   x = 180,993.23