Finding the Third Proportional to 208,000 and 456,574

Step by Step Solution

1. Step 1: Write the proportion equation
   208,000 : 456,574 = 456,574 : x
2. Step 2: Convert to fraction form
   208,000/456,574 = 456,574/x
3. Step 3: Cross multiply
   208,000x = 456,574 × 456,574
4. Step 4: Simplify right side
   208,000x = 208,459,817,476
5. Step 5: Solve for x
   x = 208,459,817,476/208,000
6. Step 6: Final answer
   x = 1,002,210.66