Finding the Third Proportional to 106,860 and 166,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,860 : 166,123.50 = 166,123.50 : x
2. Step 2: Convert to fraction form
   106,860/166,123.50 = 166,123.50/x
3. Step 3: Cross multiply
   106,860x = 166,123.50 × 166,123.50
4. Step 4: Simplify right side
   106,860x = 27,597,017,252.25
5. Step 5: Solve for x
   x = 27,597,017,252.25/106,860
6. Step 6: Final answer
   x = 258,253.95