Finding the Third Proportional to 95,886 and 143,280

Step by Step Solution

1. Step 1: Write the proportion equation
   95,886 : 143,280 = 143,280 : x
2. Step 2: Convert to fraction form
   95,886/143,280 = 143,280/x
3. Step 3: Cross multiply
   95,886x = 143,280 × 143,280
4. Step 4: Simplify right side
   95,886x = 20,529,158,400
5. Step 5: Solve for x
   x = 20,529,158,400/95,886
6. Step 6: Final answer
   x = 214,099.64