Finding the Third Proportional to 82,035 and 178,272

Step by Step Solution

1. Step 1: Write the proportion equation
   82,035 : 178,272 = 178,272 : x
2. Step 2: Convert to fraction form
   82,035/178,272 = 178,272/x
3. Step 3: Cross multiply
   82,035x = 178,272 × 178,272
4. Step 4: Simplify right side
   82,035x = 31,780,905,984
5. Step 5: Solve for x
   x = 31,780,905,984/82,035
6. Step 6: Final answer
   x = 387,406.67