Finding the Third Proportional to 83,448 and 179,532

Step by Step Solution

1. Step 1: Write the proportion equation
   83,448 : 179,532 = 179,532 : x
2. Step 2: Convert to fraction form
   83,448/179,532 = 179,532/x
3. Step 3: Cross multiply
   83,448x = 179,532 × 179,532
4. Step 4: Simplify right side
   83,448x = 32,231,739,024
5. Step 5: Solve for x
   x = 32,231,739,024/83,448
6. Step 6: Final answer
   x = 386,249.39