Finding the Third Proportional to 83,788 and 182,120

Step by Step Solution

1. Step 1: Write the proportion equation
   83,788 : 182,120 = 182,120 : x
2. Step 2: Convert to fraction form
   83,788/182,120 = 182,120/x
3. Step 3: Cross multiply
   83,788x = 182,120 × 182,120
4. Step 4: Simplify right side
   83,788x = 33,167,694,400
5. Step 5: Solve for x
   x = 33,167,694,400/83,788
6. Step 6: Final answer
   x = 395,852.56