Finding the Third Proportional to 106,857 and 166,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,857 : 166,117.50 = 166,117.50 : x
2. Step 2: Convert to fraction form
   106,857/166,117.50 = 166,117.50/x
3. Step 3: Cross multiply
   106,857x = 166,117.50 × 166,117.50
4. Step 4: Simplify right side
   106,857x = 27,595,023,806.25
5. Step 5: Solve for x
   x = 27,595,023,806.25/106,857
6. Step 6: Final answer
   x = 258,242.55