Finding the Third Proportional to 140,856 and 191,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,856 : 191,842.50 = 191,842.50 : x
2. Step 2: Convert to fraction form
   140,856/191,842.50 = 191,842.50/x
3. Step 3: Cross multiply
   140,856x = 191,842.50 × 191,842.50
4. Step 4: Simplify right side
   140,856x = 36,803,544,806.25
5. Step 5: Solve for x
   x = 36,803,544,806.25/140,856
6. Step 6: Final answer
   x = 261,284.89