Finding the Third Proportional to 106,842 and 166,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,842 : 166,095.50 = 166,095.50 : x
2. Step 2: Convert to fraction form
   106,842/166,095.50 = 166,095.50/x
3. Step 3: Cross multiply
   106,842x = 166,095.50 × 166,095.50
4. Step 4: Simplify right side
   106,842x = 27,587,715,120.25
5. Step 5: Solve for x
   x = 27,587,715,120.25/106,842
6. Step 6: Final answer
   x = 258,210.40