Finding the Third Proportional to 106,833 and 166,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,833 : 166,081.50 = 166,081.50 : x
2. Step 2: Convert to fraction form
   106,833/166,081.50 = 166,081.50/x
3. Step 3: Cross multiply
   106,833x = 166,081.50 × 166,081.50
4. Step 4: Simplify right side
   106,833x = 27,583,064,642.25
5. Step 5: Solve for x
   x = 27,583,064,642.25/106,833
6. Step 6: Final answer
   x = 258,188.62