Finding the Third Proportional to 140,271.75 and 300,641.63

Step by Step Solution

1. Step 1: Write the proportion equation
   140,271.75 : 300,641.63 = 300,641.63 : x
2. Step 2: Convert to fraction form
   140,271.75/300,641.63 = 300,641.63/x
3. Step 3: Cross multiply
   140,271.75x = 300,641.63 × 300,641.63
4. Step 4: Simplify right side
   140,271.75x = 90,385,386,682.64
5. Step 5: Solve for x
   x = 90,385,386,682.64/140,271.75
6. Step 6: Final answer
   x = 644,359.16