Finding the Third Proportional to 140,109 and 188,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,109 : 188,776.50 = 188,776.50 : x
2. Step 2: Convert to fraction form
   140,109/188,776.50 = 188,776.50/x
3. Step 3: Cross multiply
   140,109x = 188,776.50 × 188,776.50
4. Step 4: Simplify right side
   140,109x = 35,636,566,952.25
5. Step 5: Solve for x
   x = 35,636,566,952.25/140,109
6. Step 6: Final answer
   x = 254,348.88