Finding the Third Proportional to 106,870 and 166,774

Step by Step Solution

1. Step 1: Write the proportion equation
   106,870 : 166,774 = 166,774 : x
2. Step 2: Convert to fraction form
   106,870/166,774 = 166,774/x
3. Step 3: Cross multiply
   106,870x = 166,774 × 166,774
4. Step 4: Simplify right side
   106,870x = 27,813,567,076
5. Step 5: Solve for x
   x = 27,813,567,076/106,870
6. Step 6: Final answer
   x = 260,256.08