Finding the Third Proportional to 83,592 and 182,736

Step by Step Solution

1. Step 1: Write the proportion equation
   83,592 : 182,736 = 182,736 : x
2. Step 2: Convert to fraction form
   83,592/182,736 = 182,736/x
3. Step 3: Cross multiply
   83,592x = 182,736 × 182,736
4. Step 4: Simplify right side
   83,592x = 33,392,445,696
5. Step 5: Solve for x
   x = 33,392,445,696/83,592
6. Step 6: Final answer
   x = 399,469.40