Finding the Third Proportional to 146,106 and 314,404

Step by Step Solution

1. Step 1: Write the proportion equation
   146,106 : 314,404 = 314,404 : x
2. Step 2: Convert to fraction form
   146,106/314,404 = 314,404/x
3. Step 3: Cross multiply
   146,106x = 314,404 × 314,404
4. Step 4: Simplify right side
   146,106x = 98,849,875,216
5. Step 5: Solve for x
   x = 98,849,875,216/146,106
6. Step 6: Final answer
   x = 676,562.74