Finding the Third Proportional to 83,094 and 182,802

Step by Step Solution

1. Step 1: Write the proportion equation
   83,094 : 182,802 = 182,802 : x
2. Step 2: Convert to fraction form
   83,094/182,802 = 182,802/x
3. Step 3: Cross multiply
   83,094x = 182,802 × 182,802
4. Step 4: Simplify right side
   83,094x = 33,416,571,204
5. Step 5: Solve for x
   x = 33,416,571,204/83,094
6. Step 6: Final answer
   x = 402,153.84