Finding the Third Proportional to 345,384 and 459,072

Step by Step Solution

1. Step 1: Write the proportion equation
   345,384 : 459,072 = 459,072 : x
2. Step 2: Convert to fraction form
   345,384/459,072 = 459,072/x
3. Step 3: Cross multiply
   345,384x = 459,072 × 459,072
4. Step 4: Simplify right side
   345,384x = 210,747,101,184
5. Step 5: Solve for x
   x = 210,747,101,184/345,384
6. Step 6: Final answer
   x = 610,182.00