Finding the Third Proportional to 140,947 and 193,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,947 : 193,276.50 = 193,276.50 : x
2. Step 2: Convert to fraction form
   140,947/193,276.50 = 193,276.50/x
3. Step 3: Cross multiply
   140,947x = 193,276.50 × 193,276.50
4. Step 4: Simplify right side
   140,947x = 37,355,805,452.25
5. Step 5: Solve for x
   x = 37,355,805,452.25/140,947
6. Step 6: Final answer
   x = 265,034.41