Finding the Third Proportional to 355,182 and 541,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,182 : 541,636.50 = 541,636.50 : x
2. Step 2: Convert to fraction form
   355,182/541,636.50 = 541,636.50/x
3. Step 3: Cross multiply
   355,182x = 541,636.50 × 541,636.50
4. Step 4: Simplify right side
   355,182x = 293,370,098,132.25
5. Step 5: Solve for x
   x = 293,370,098,132.25/355,182
6. Step 6: Final answer
   x = 825,971.19