Finding the Third Proportional to 83,273 and 179,839

Step by Step Solution

1. Step 1: Write the proportion equation
   83,273 : 179,839 = 179,839 : x
2. Step 2: Convert to fraction form
   83,273/179,839 = 179,839/x
3. Step 3: Cross multiply
   83,273x = 179,839 × 179,839
4. Step 4: Simplify right side
   83,273x = 32,342,065,921
5. Step 5: Solve for x
   x = 32,342,065,921/83,273
6. Step 6: Final answer
   x = 388,385.98