Finding the Third Proportional to 140,292 and 191,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,292 : 191,668.50 = 191,668.50 : x
2. Step 2: Convert to fraction form
   140,292/191,668.50 = 191,668.50/x
3. Step 3: Cross multiply
   140,292x = 191,668.50 × 191,668.50
4. Step 4: Simplify right side
   140,292x = 36,736,813,892.25
5. Step 5: Solve for x
   x = 36,736,813,892.25/140,292
6. Step 6: Final answer
   x = 261,859.65