Finding the Third Proportional to 80,952 and 171,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,952 : 171,769.50 = 171,769.50 : x
2. Step 2: Convert to fraction form
   80,952/171,769.50 = 171,769.50/x
3. Step 3: Cross multiply
   80,952x = 171,769.50 × 171,769.50
4. Step 4: Simplify right side
   80,952x = 29,504,761,130.25
5. Step 5: Solve for x
   x = 29,504,761,130.25/80,952
6. Step 6: Final answer
   x = 364,472.29