Finding the Third Proportional to 82,327.50 and 171,114.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,327.50 : 171,114.75 = 171,114.75 : x
2. Step 2: Convert to fraction form
   82,327.50/171,114.75 = 171,114.75/x
3. Step 3: Cross multiply
   82,327.50x = 171,114.75 × 171,114.75
4. Step 4: Simplify right side
   82,327.50x = 29,280,257,667.56
5. Step 5: Solve for x
   x = 29,280,257,667.56/82,327.50
6. Step 6: Final answer
   x = 355,655.86