Finding the Third Proportional to 65,503 and 140,345

Step by Step Solution

1. Step 1: Write the proportion equation
   65,503 : 140,345 = 140,345 : x
2. Step 2: Convert to fraction form
   65,503/140,345 = 140,345/x
3. Step 3: Cross multiply
   65,503x = 140,345 × 140,345
4. Step 4: Simplify right side
   65,503x = 19,696,719,025
5. Step 5: Solve for x
   x = 19,696,719,025/65,503
6. Step 6: Final answer
   x = 300,699.50