Finding the Third Proportional to 145,955 and 314,710

Step by Step Solution

1. Step 1: Write the proportion equation
   145,955 : 314,710 = 314,710 : x
2. Step 2: Convert to fraction form
   145,955/314,710 = 314,710/x
3. Step 3: Cross multiply
   145,955x = 314,710 × 314,710
4. Step 4: Simplify right side
   145,955x = 99,042,384,100
5. Step 5: Solve for x
   x = 99,042,384,100/145,955
6. Step 6: Final answer
   x = 678,581.65