Finding the Third Proportional to 82,436 and 177,672

Step by Step Solution

1. Step 1: Write the proportion equation
   82,436 : 177,672 = 177,672 : x
2. Step 2: Convert to fraction form
   82,436/177,672 = 177,672/x
3. Step 3: Cross multiply
   82,436x = 177,672 × 177,672
4. Step 4: Simplify right side
   82,436x = 31,567,339,584
5. Step 5: Solve for x
   x = 31,567,339,584/82,436
6. Step 6: Final answer
   x = 382,931.48