Finding the Third Proportional to 83,108 and 182,828

Step by Step Solution

1. Step 1: Write the proportion equation
   83,108 : 182,828 = 182,828 : x
2. Step 2: Convert to fraction form
   83,108/182,828 = 182,828/x
3. Step 3: Cross multiply
   83,108x = 182,828 × 182,828
4. Step 4: Simplify right side
   83,108x = 33,426,077,584
5. Step 5: Solve for x
   x = 33,426,077,584/83,108
6. Step 6: Final answer
   x = 402,200.48