Finding the Third Proportional to 145,958 and 314,704

Step by Step Solution

1. Step 1: Write the proportion equation
   145,958 : 314,704 = 314,704 : x
2. Step 2: Convert to fraction form
   145,958/314,704 = 314,704/x
3. Step 3: Cross multiply
   145,958x = 314,704 × 314,704
4. Step 4: Simplify right side
   145,958x = 99,038,607,616
5. Step 5: Solve for x
   x = 99,038,607,616/145,958
6. Step 6: Final answer
   x = 678,541.82