Finding the Third Proportional to 82,032 and 178,886

Step by Step Solution

1. Step 1: Write the proportion equation
   82,032 : 178,886 = 178,886 : x
2. Step 2: Convert to fraction form
   82,032/178,886 = 178,886/x
3. Step 3: Cross multiply
   82,032x = 178,886 × 178,886
4. Step 4: Simplify right side
   82,032x = 32,000,200,996
5. Step 5: Solve for x
   x = 32,000,200,996/82,032
6. Step 6: Final answer
   x = 390,094.12