Finding the Third Proportional to 143,776 and 310,016

Step by Step Solution

1. Step 1: Write the proportion equation
   143,776 : 310,016 = 310,016 : x
2. Step 2: Convert to fraction form
   143,776/310,016 = 310,016/x
3. Step 3: Cross multiply
   143,776x = 310,016 × 310,016
4. Step 4: Simplify right side
   143,776x = 96,109,920,256
5. Step 5: Solve for x
   x = 96,109,920,256/143,776
6. Step 6: Final answer
   x = 668,469.84