Finding the Third Proportional to 82,044 and 178,912

Step by Step Solution

1. Step 1: Write the proportion equation
   82,044 : 178,912 = 178,912 : x
2. Step 2: Convert to fraction form
   82,044/178,912 = 178,912/x
3. Step 3: Cross multiply
   82,044x = 178,912 × 178,912
4. Step 4: Simplify right side
   82,044x = 32,009,503,744
5. Step 5: Solve for x
   x = 32,009,503,744/82,044
6. Step 6: Final answer
   x = 390,150.45