Finding the Third Proportional to 83,172 and 179,656

Step by Step Solution

1. Step 1: Write the proportion equation
   83,172 : 179,656 = 179,656 : x
2. Step 2: Convert to fraction form
   83,172/179,656 = 179,656/x
3. Step 3: Cross multiply
   83,172x = 179,656 × 179,656
4. Step 4: Simplify right side
   83,172x = 32,276,278,336
5. Step 5: Solve for x
   x = 32,276,278,336/83,172
6. Step 6: Final answer
   x = 388,066.64