Finding the Third Proportional to 65,031 and 139,764

Step by Step Solution

1. Step 1: Write the proportion equation
   65,031 : 139,764 = 139,764 : x
2. Step 2: Convert to fraction form
   65,031/139,764 = 139,764/x
3. Step 3: Cross multiply
   65,031x = 139,764 × 139,764
4. Step 4: Simplify right side
   65,031x = 19,533,975,696
5. Step 5: Solve for x
   x = 19,533,975,696/65,031
6. Step 6: Final answer
   x = 300,379.45