Finding the Third Proportional to 82,046 and 176,665

Step by Step Solution

1. Step 1: Write the proportion equation
   82,046 : 176,665 = 176,665 : x
2. Step 2: Convert to fraction form
   82,046/176,665 = 176,665/x
3. Step 3: Cross multiply
   82,046x = 176,665 × 176,665
4. Step 4: Simplify right side
   82,046x = 31,210,522,225
5. Step 5: Solve for x
   x = 31,210,522,225/82,046
6. Step 6: Final answer
   x = 380,402.73