Finding the Third Proportional to 65,649 and 143,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,649 : 143,176.50 = 143,176.50 : x
2. Step 2: Convert to fraction form
   65,649/143,176.50 = 143,176.50/x
3. Step 3: Cross multiply
   65,649x = 143,176.50 × 143,176.50
4. Step 4: Simplify right side
   65,649x = 20,499,510,152.25
5. Step 5: Solve for x
   x = 20,499,510,152.25/65,649
6. Step 6: Final answer
   x = 312,259.29