Finding the Third Proportional to 146,826 and 316,980

Step by Step Solution

1. Step 1: Write the proportion equation
   146,826 : 316,980 = 316,980 : x
2. Step 2: Convert to fraction form
   146,826/316,980 = 316,980/x
3. Step 3: Cross multiply
   146,826x = 316,980 × 316,980
4. Step 4: Simplify right side
   146,826x = 100,476,320,400
5. Step 5: Solve for x
   x = 100,476,320,400/146,826
6. Step 6: Final answer
   x = 684,322.40