Finding the Third Proportional to 76,722 and 171,300

Step by Step Solution

1. Step 1: Write the proportion equation
   76,722 : 171,300 = 171,300 : x
2. Step 2: Convert to fraction form
   76,722/171,300 = 171,300/x
3. Step 3: Cross multiply
   76,722x = 171,300 × 171,300
4. Step 4: Simplify right side
   76,722x = 29,343,690,000
5. Step 5: Solve for x
   x = 29,343,690,000/76,722
6. Step 6: Final answer
   x = 382,467.74