Finding the Third Proportional to 77,722 and 166,500

Step by Step Solution

1. Step 1: Write the proportion equation
   77,722 : 166,500 = 166,500 : x
2. Step 2: Convert to fraction form
   77,722/166,500 = 166,500/x
3. Step 3: Cross multiply
   77,722x = 166,500 × 166,500
4. Step 4: Simplify right side
   77,722x = 27,722,250,000
5. Step 5: Solve for x
   x = 27,722,250,000/77,722
6. Step 6: Final answer
   x = 356,684.72