Finding the Third Proportional to 65,463 and 142,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,463 : 142,591.50 = 142,591.50 : x
2. Step 2: Convert to fraction form
   65,463/142,591.50 = 142,591.50/x
3. Step 3: Cross multiply
   65,463x = 142,591.50 × 142,591.50
4. Step 4: Simplify right side
   65,463x = 20,332,335,872.25
5. Step 5: Solve for x
   x = 20,332,335,872.25/65,463
6. Step 6: Final answer
   x = 310,592.79