Finding the Third Proportional to 83,832 and 182,460

Step by Step Solution

1. Step 1: Write the proportion equation
   83,832 : 182,460 = 182,460 : x
2. Step 2: Convert to fraction form
   83,832/182,460 = 182,460/x
3. Step 3: Cross multiply
   83,832x = 182,460 × 182,460
4. Step 4: Simplify right side
   83,832x = 33,291,651,600
5. Step 5: Solve for x
   x = 33,291,651,600/83,832
6. Step 6: Final answer
   x = 397,123.43