Finding the Third Proportional to 106,870 and 166,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,870 : 166,774.50 = 166,774.50 : x
2. Step 2: Convert to fraction form
   106,870/166,774.50 = 166,774.50/x
3. Step 3: Cross multiply
   106,870x = 166,774.50 × 166,774.50
4. Step 4: Simplify right side
   106,870x = 27,813,733,850.25
5. Step 5: Solve for x
   x = 27,813,733,850.25/106,870
6. Step 6: Final answer
   x = 260,257.64