Finding the Third Proportional to 82,448 and 178,072

Step by Step Solution

1. Step 1: Write the proportion equation
   82,448 : 178,072 = 178,072 : x
2. Step 2: Convert to fraction form
   82,448/178,072 = 178,072/x
3. Step 3: Cross multiply
   82,448x = 178,072 × 178,072
4. Step 4: Simplify right side
   82,448x = 31,709,637,184
5. Step 5: Solve for x
   x = 31,709,637,184/82,448
6. Step 6: Final answer
   x = 384,601.65