Finding the Third Proportional to 407,820 and 599,830

Step by Step Solution

1. Step 1: Write the proportion equation
   407,820 : 599,830 = 599,830 : x
2. Step 2: Convert to fraction form
   407,820/599,830 = 599,830/x
3. Step 3: Cross multiply
   407,820x = 599,830 × 599,830
4. Step 4: Simplify right side
   407,820x = 359,796,028,900
5. Step 5: Solve for x
   x = 359,796,028,900/407,820
6. Step 6: Final answer
   x = 882,242.24