Finding the Third Proportional to 143,776 and 311,984

Step by Step Solution

1. Step 1: Write the proportion equation
   143,776 : 311,984 = 311,984 : x
2. Step 2: Convert to fraction form
   143,776/311,984 = 311,984/x
3. Step 3: Cross multiply
   143,776x = 311,984 × 311,984
4. Step 4: Simplify right side
   143,776x = 97,334,016,256
5. Step 5: Solve for x
   x = 97,334,016,256/143,776
6. Step 6: Final answer
   x = 676,983.75