Finding the Third Proportional to 82,029 and 178,287

Step by Step Solution

1. Step 1: Write the proportion equation
   82,029 : 178,287 = 178,287 : x
2. Step 2: Convert to fraction form
   82,029/178,287 = 178,287/x
3. Step 3: Cross multiply
   82,029x = 178,287 × 178,287
4. Step 4: Simplify right side
   82,029x = 31,786,254,369
5. Step 5: Solve for x
   x = 31,786,254,369/82,029
6. Step 6: Final answer
   x = 387,500.21