Finding the Third Proportional to 82,892 and 178,888

Step by Step Solution

1. Step 1: Write the proportion equation
   82,892 : 178,888 = 178,888 : x
2. Step 2: Convert to fraction form
   82,892/178,888 = 178,888/x
3. Step 3: Cross multiply
   82,892x = 178,888 × 178,888
4. Step 4: Simplify right side
   82,892x = 32,000,916,544
5. Step 5: Solve for x
   x = 32,000,916,544/82,892
6. Step 6: Final answer
   x = 386,055.55