Finding the Third Proportional to 146,892 and 317,106

Step by Step Solution

1. Step 1: Write the proportion equation
   146,892 : 317,106 = 317,106 : x
2. Step 2: Convert to fraction form
   146,892/317,106 = 317,106/x
3. Step 3: Cross multiply
   146,892x = 317,106 × 317,106
4. Step 4: Simplify right side
   146,892x = 100,556,215,236
5. Step 5: Solve for x
   x = 100,556,215,236/146,892
6. Step 6: Final answer
   x = 684,558.83