Finding the Third Proportional to 81,500 and 171,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,500 : 171,849.50 = 171,849.50 : x
2. Step 2: Convert to fraction form
   81,500/171,849.50 = 171,849.50/x
3. Step 3: Cross multiply
   81,500x = 171,849.50 × 171,849.50
4. Step 4: Simplify right side
   81,500x = 29,532,250,650.25
5. Step 5: Solve for x
   x = 29,532,250,650.25/81,500
6. Step 6: Final answer
   x = 362,358.90