Finding the Third Proportional to 83,227 and 182,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,227 : 182,024.50 = 182,024.50 : x
2. Step 2: Convert to fraction form
   83,227/182,024.50 = 182,024.50/x
3. Step 3: Cross multiply
   83,227x = 182,024.50 × 182,024.50
4. Step 4: Simplify right side
   83,227x = 33,132,918,600.25
5. Step 5: Solve for x
   x = 33,132,918,600.25/83,227
6. Step 6: Final answer
   x = 398,103.00