Finding the Third Proportional to 79,533 and 171,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,533 : 171,253.50 = 171,253.50 : x
2. Step 2: Convert to fraction form
   79,533/171,253.50 = 171,253.50/x
3. Step 3: Cross multiply
   79,533x = 171,253.50 × 171,253.50
4. Step 4: Simplify right side
   79,533x = 29,327,761,262.25
5. Step 5: Solve for x
   x = 29,327,761,262.25/79,533
6. Step 6: Final answer
   x = 368,749.59