Finding the Third Proportional to 83,333 and 182,494

Step by Step Solution

1. Step 1: Write the proportion equation
   83,333 : 182,494 = 182,494 : x
2. Step 2: Convert to fraction form
   83,333/182,494 = 182,494/x
3. Step 3: Cross multiply
   83,333x = 182,494 × 182,494
4. Step 4: Simplify right side
   83,333x = 33,304,060,036
5. Step 5: Solve for x
   x = 33,304,060,036/83,333
6. Step 6: Final answer
   x = 399,650.32