Finding the Third Proportional to 82,030 and 178,884

Step by Step Solution

1. Step 1: Write the proportion equation
   82,030 : 178,884 = 178,884 : x
2. Step 2: Convert to fraction form
   82,030/178,884 = 178,884/x
3. Step 3: Cross multiply
   82,030x = 178,884 × 178,884
4. Step 4: Simplify right side
   82,030x = 31,999,485,456
5. Step 5: Solve for x
   x = 31,999,485,456/82,030
6. Step 6: Final answer
   x = 390,094.91