Finding the Third Proportional to 140,509.69 and 190,465.31

Step by Step Solution

1. Step 1: Write the proportion equation
   140,509.69 : 190,465.31 = 190,465.31 : x
2. Step 2: Convert to fraction form
   140,509.69/190,465.31 = 190,465.31/x
3. Step 3: Cross multiply
   140,509.69x = 190,465.31 × 190,465.31
4. Step 4: Simplify right side
   140,509.69x = 36,277,035,265.72
5. Step 5: Solve for x
   x = 36,277,035,265.72/140,509.69
6. Step 6: Final answer
   x = 258,181.74