Finding the Third Proportional to 82,092 and 177,308

Step by Step Solution

1. Step 1: Write the proportion equation
   82,092 : 177,308 = 177,308 : x
2. Step 2: Convert to fraction form
   82,092/177,308 = 177,308/x
3. Step 3: Cross multiply
   82,092x = 177,308 × 177,308
4. Step 4: Simplify right side
   82,092x = 31,438,126,864
5. Step 5: Solve for x
   x = 31,438,126,864/82,092
6. Step 6: Final answer
   x = 382,962.13