Finding the Third Proportional to 83,636 and 183,876

Step by Step Solution

1. Step 1: Write the proportion equation
   83,636 : 183,876 = 183,876 : x
2. Step 2: Convert to fraction form
   83,636/183,876 = 183,876/x
3. Step 3: Cross multiply
   83,636x = 183,876 × 183,876
4. Step 4: Simplify right side
   83,636x = 33,810,383,376
5. Step 5: Solve for x
   x = 33,810,383,376/83,636
6. Step 6: Final answer
   x = 404,256.34