Finding the Third Proportional to 82,264 and 177,000

Step by Step Solution

1. Step 1: Write the proportion equation
   82,264 : 177,000 = 177,000 : x
2. Step 2: Convert to fraction form
   82,264/177,000 = 177,000/x
3. Step 3: Cross multiply
   82,264x = 177,000 × 177,000
4. Step 4: Simplify right side
   82,264x = 31,329,000,000
5. Step 5: Solve for x
   x = 31,329,000,000/82,264
6. Step 6: Final answer
   x = 380,834.87