Finding the Third Proportional to 308,262 and 460,314

Step by Step Solution

1. Step 1: Write the proportion equation
   308,262 : 460,314 = 460,314 : x
2. Step 2: Convert to fraction form
   308,262/460,314 = 460,314/x
3. Step 3: Cross multiply
   308,262x = 460,314 × 460,314
4. Step 4: Simplify right side
   308,262x = 211,888,978,596
5. Step 5: Solve for x
   x = 211,888,978,596/308,262
6. Step 6: Final answer
   x = 687,366.52