Finding the Third Proportional to 83,768 and 179,122

Step by Step Solution

1. Step 1: Write the proportion equation
   83,768 : 179,122 = 179,122 : x
2. Step 2: Convert to fraction form
   83,768/179,122 = 179,122/x
3. Step 3: Cross multiply
   83,768x = 179,122 × 179,122
4. Step 4: Simplify right side
   83,768x = 32,084,690,884
5. Step 5: Solve for x
   x = 32,084,690,884/83,768
6. Step 6: Final answer
   x = 383,018.47