Finding the Third Proportional to 140,941 and 193,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,941 : 193,267.50 = 193,267.50 : x
2. Step 2: Convert to fraction form
   140,941/193,267.50 = 193,267.50/x
3. Step 3: Cross multiply
   140,941x = 193,267.50 × 193,267.50
4. Step 4: Simplify right side
   140,941x = 37,352,326,556.25
5. Step 5: Solve for x
   x = 37,352,326,556.25/140,941
6. Step 6: Final answer
   x = 265,021.01