Finding the Third Proportional to 106,938 and 166,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,938 : 166,315.50 = 166,315.50 : x
2. Step 2: Convert to fraction form
   106,938/166,315.50 = 166,315.50/x
3. Step 3: Cross multiply
   106,938x = 166,315.50 × 166,315.50
4. Step 4: Simplify right side
   106,938x = 27,660,845,540.25
5. Step 5: Solve for x
   x = 27,660,845,540.25/106,938
6. Step 6: Final answer
   x = 258,662.45