Finding the Third Proportional to 83,124 and 181,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,124 : 181,282.50 = 181,282.50 : x
2. Step 2: Convert to fraction form
   83,124/181,282.50 = 181,282.50/x
3. Step 3: Cross multiply
   83,124x = 181,282.50 × 181,282.50
4. Step 4: Simplify right side
   83,124x = 32,863,344,806.25
5. Step 5: Solve for x
   x = 32,863,344,806.25/83,124
6. Step 6: Final answer
   x = 395,353.27