Finding the Third Proportional to 83,120 and 182,844

Step by Step Solution

1. Step 1: Write the proportion equation
   83,120 : 182,844 = 182,844 : x
2. Step 2: Convert to fraction form
   83,120/182,844 = 182,844/x
3. Step 3: Cross multiply
   83,120x = 182,844 × 182,844
4. Step 4: Simplify right side
   83,120x = 33,431,928,336
5. Step 5: Solve for x
   x = 33,431,928,336/83,120
6. Step 6: Final answer
   x = 402,212.80