Finding the Third Proportional to 177,632 and 380,456

Step by Step Solution

1. Step 1: Write the proportion equation
   177,632 : 380,456 = 380,456 : x
2. Step 2: Convert to fraction form
   177,632/380,456 = 380,456/x
3. Step 3: Cross multiply
   177,632x = 380,456 × 380,456
4. Step 4: Simplify right side
   177,632x = 144,746,767,936
5. Step 5: Solve for x
   x = 144,746,767,936/177,632
6. Step 6: Final answer
   x = 814,868.76