Finding the Third Proportional to 65,413 and 143,282

Step by Step Solution

1. Step 1: Write the proportion equation
   65,413 : 143,282 = 143,282 : x
2. Step 2: Convert to fraction form
   65,413/143,282 = 143,282/x
3. Step 3: Cross multiply
   65,413x = 143,282 × 143,282
4. Step 4: Simplify right side
   65,413x = 20,529,731,524
5. Step 5: Solve for x
   x = 20,529,731,524/65,413
6. Step 6: Final answer
   x = 313,847.88