Finding the Third Proportional to 177,570 and 384,300

Step by Step Solution

1. Step 1: Write the proportion equation
   177,570 : 384,300 = 384,300 : x
2. Step 2: Convert to fraction form
   177,570/384,300 = 384,300/x
3. Step 3: Cross multiply
   177,570x = 384,300 × 384,300
4. Step 4: Simplify right side
   177,570x = 147,686,490,000
5. Step 5: Solve for x
   x = 147,686,490,000/177,570
6. Step 6: Final answer
   x = 831,708.57