Finding the Third Proportional to 117,920 and 166,700

Step by Step Solution

1. Step 1: Write the proportion equation
   117,920 : 166,700 = 166,700 : x
2. Step 2: Convert to fraction form
   117,920/166,700 = 166,700/x
3. Step 3: Cross multiply
   117,920x = 166,700 × 166,700
4. Step 4: Simplify right side
   117,920x = 27,788,890,000
5. Step 5: Solve for x
   x = 27,788,890,000/117,920
6. Step 6: Final answer
   x = 235,658.84