Finding the Third Proportional to 82,147 and 176,562

Step by Step Solution

1. Step 1: Write the proportion equation
   82,147 : 176,562 = 176,562 : x
2. Step 2: Convert to fraction form
   82,147/176,562 = 176,562/x
3. Step 3: Cross multiply
   82,147x = 176,562 × 176,562
4. Step 4: Simplify right side
   82,147x = 31,174,139,844
5. Step 5: Solve for x
   x = 31,174,139,844/82,147
6. Step 6: Final answer
   x = 379,492.13