Finding the Third Proportional to 109,740 and 166,140

Step by Step Solution

1. Step 1: Write the proportion equation
   109,740 : 166,140 = 166,140 : x
2. Step 2: Convert to fraction form
   109,740/166,140 = 166,140/x
3. Step 3: Cross multiply
   109,740x = 166,140 × 166,140
4. Step 4: Simplify right side
   109,740x = 27,602,499,600
5. Step 5: Solve for x
   x = 27,602,499,600/109,740
6. Step 6: Final answer
   x = 251,526.33