Finding the Third Proportional to 82,038 and 178,080.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82,038 : 178,080.38 = 178,080.38 : x
2. Step 2: Convert to fraction form
   82,038/178,080.38 = 178,080.38/x
3. Step 3: Cross multiply
   82,038x = 178,080.38 × 178,080.38
4. Step 4: Simplify right side
   82,038x = 31,712,619,960.14
5. Step 5: Solve for x
   x = 31,712,619,960.14/82,038
6. Step 6: Final answer
   x = 386,560.13