Finding the Third Proportional to 106,419 and 166,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,419 : 166,972.50 = 166,972.50 : x
2. Step 2: Convert to fraction form
   106,419/166,972.50 = 166,972.50/x
3. Step 3: Cross multiply
   106,419x = 166,972.50 × 166,972.50
4. Step 4: Simplify right side
   106,419x = 27,879,815,756.25
5. Step 5: Solve for x
   x = 27,879,815,756.25/106,419
6. Step 6: Final answer
   x = 261,981.56