Finding the Third Proportional to 65,335 and 143,123

Step by Step Solution

1. Step 1: Write the proportion equation
   65,335 : 143,123 = 143,123 : x
2. Step 2: Convert to fraction form
   65,335/143,123 = 143,123/x
3. Step 3: Cross multiply
   65,335x = 143,123 × 143,123
4. Step 4: Simplify right side
   65,335x = 20,484,193,129
5. Step 5: Solve for x
   x = 20,484,193,129/65,335
6. Step 6: Final answer
   x = 313,525.57