Finding the Third Proportional to 146,086 and 314,041

Step by Step Solution

1. Step 1: Write the proportion equation
   146,086 : 314,041 = 314,041 : x
2. Step 2: Convert to fraction form
   146,086/314,041 = 314,041/x
3. Step 3: Cross multiply
   146,086x = 314,041 × 314,041
4. Step 4: Simplify right side
   146,086x = 98,621,749,681
5. Step 5: Solve for x
   x = 98,621,749,681/146,086
6. Step 6: Final answer
   x = 675,093.78