Finding the Third Proportional to 143,364 and 283,196

Step by Step Solution

1. Step 1: Write the proportion equation
   143,364 : 283,196 = 283,196 : x
2. Step 2: Convert to fraction form
   143,364/283,196 = 283,196/x
3. Step 3: Cross multiply
   143,364x = 283,196 × 283,196
4. Step 4: Simplify right side
   143,364x = 80,199,974,416
5. Step 5: Solve for x
   x = 80,199,974,416/143,364
6. Step 6: Final answer
   x = 559,415.02