Finding the Third Proportional to 83,457 and 182,907

Step by Step Solution

1. Step 1: Write the proportion equation
   83,457 : 182,907 = 182,907 : x
2. Step 2: Convert to fraction form
   83,457/182,907 = 182,907/x
3. Step 3: Cross multiply
   83,457x = 182,907 × 182,907
4. Step 4: Simplify right side
   83,457x = 33,454,970,649
5. Step 5: Solve for x
   x = 33,454,970,649/83,457
6. Step 6: Final answer
   x = 400,864.76