Finding the Third Proportional to 83,826 and 182,448

Step by Step Solution

1. Step 1: Write the proportion equation
   83,826 : 182,448 = 182,448 : x
2. Step 2: Convert to fraction form
   83,826/182,448 = 182,448/x
3. Step 3: Cross multiply
   83,826x = 182,448 × 182,448
4. Step 4: Simplify right side
   83,826x = 33,287,272,704
5. Step 5: Solve for x
   x = 33,287,272,704/83,826
6. Step 6: Final answer
   x = 397,099.62