Finding the Third Proportional to 83,312 and 182,836

Step by Step Solution

1. Step 1: Write the proportion equation
   83,312 : 182,836 = 182,836 : x
2. Step 2: Convert to fraction form
   83,312/182,836 = 182,836/x
3. Step 3: Cross multiply
   83,312x = 182,836 × 182,836
4. Step 4: Simplify right side
   83,312x = 33,429,002,896
5. Step 5: Solve for x
   x = 33,429,002,896/83,312
6. Step 6: Final answer
   x = 401,250.75