Finding the Third Proportional to 82,550 and 177,736

Step by Step Solution

1. Step 1: Write the proportion equation
   82,550 : 177,736 = 177,736 : x
2. Step 2: Convert to fraction form
   82,550/177,736 = 177,736/x
3. Step 3: Cross multiply
   82,550x = 177,736 × 177,736
4. Step 4: Simplify right side
   82,550x = 31,590,085,696
5. Step 5: Solve for x
   x = 31,590,085,696/82,550
6. Step 6: Final answer
   x = 382,678.20