Finding the Third Proportional to 303,966 and 456,111

Step by Step Solution

1. Step 1: Write the proportion equation
   303,966 : 456,111 = 456,111 : x
2. Step 2: Convert to fraction form
   303,966/456,111 = 456,111/x
3. Step 3: Cross multiply
   303,966x = 456,111 × 456,111
4. Step 4: Simplify right side
   303,966x = 208,037,244,321
5. Step 5: Solve for x
   x = 208,037,244,321/303,966
6. Step 6: Final answer
   x = 684,409.59