Finding the Third Proportional to 311,816 and 456,060

Step by Step Solution

1. Step 1: Write the proportion equation
   311,816 : 456,060 = 456,060 : x
2. Step 2: Convert to fraction form
   311,816/456,060 = 456,060/x
3. Step 3: Cross multiply
   311,816x = 456,060 × 456,060
4. Step 4: Simplify right side
   311,816x = 207,990,723,600
5. Step 5: Solve for x
   x = 207,990,723,600/311,816
6. Step 6: Final answer
   x = 667,030.31