Finding the Third Proportional to 65,830.50 and 144,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,830.50 : 144,161.50 = 144,161.50 : x
2. Step 2: Convert to fraction form
   65,830.50/144,161.50 = 144,161.50/x
3. Step 3: Cross multiply
   65,830.50x = 144,161.50 × 144,161.50
4. Step 4: Simplify right side
   65,830.50x = 20,782,538,082.25
5. Step 5: Solve for x
   x = 20,782,538,082.25/65,830.50
6. Step 6: Final answer
   x = 315,697.71