Finding the Third Proportional to 106,869 and 166,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,869 : 166,773.50 = 166,773.50 : x
2. Step 2: Convert to fraction form
   106,869/166,773.50 = 166,773.50/x
3. Step 3: Cross multiply
   106,869x = 166,773.50 × 166,773.50
4. Step 4: Simplify right side
   106,869x = 27,813,400,302.25
5. Step 5: Solve for x
   x = 27,813,400,302.25/106,869
6. Step 6: Final answer
   x = 260,256.95