Finding the Third Proportional to 81,820 and 177,300

Step by Step Solution

1. Step 1: Write the proportion equation
   81,820 : 177,300 = 177,300 : x
2. Step 2: Convert to fraction form
   81,820/177,300 = 177,300/x
3. Step 3: Cross multiply
   81,820x = 177,300 × 177,300
4. Step 4: Simplify right side
   81,820x = 31,435,290,000
5. Step 5: Solve for x
   x = 31,435,290,000/81,820
6. Step 6: Final answer
   x = 384,200.56