Finding the Third Proportional to 111,311 and 166,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,311 : 166,938.50 = 166,938.50 : x
2. Step 2: Convert to fraction form
   111,311/166,938.50 = 166,938.50/x
3. Step 3: Cross multiply
   111,311x = 166,938.50 × 166,938.50
4. Step 4: Simplify right side
   111,311x = 27,868,462,782.25
5. Step 5: Solve for x
   x = 27,868,462,782.25/111,311
6. Step 6: Final answer
   x = 250,365.76