Finding the Third Proportional to 145,984 and 314,760

Step by Step Solution

1. Step 1: Write the proportion equation
   145,984 : 314,760 = 314,760 : x
2. Step 2: Convert to fraction form
   145,984/314,760 = 314,760/x
3. Step 3: Cross multiply
   145,984x = 314,760 × 314,760
4. Step 4: Simplify right side
   145,984x = 99,073,857,600
5. Step 5: Solve for x
   x = 99,073,857,600/145,984
6. Step 6: Final answer
   x = 678,662.44