Finding the Third Proportional to 82,596 and 182,260.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,596 : 182,260.50 = 182,260.50 : x
2. Step 2: Convert to fraction form
   82,596/182,260.50 = 182,260.50/x
3. Step 3: Cross multiply
   82,596x = 182,260.50 × 182,260.50
4. Step 4: Simplify right side
   82,596x = 33,218,889,860.25
5. Step 5: Solve for x
   x = 33,218,889,860.25/82,596
6. Step 6: Final answer
   x = 402,185.21