Finding the Third Proportional to 407,856 and 599,746

Step by Step Solution

1. Step 1: Write the proportion equation
   407,856 : 599,746 = 599,746 : x
2. Step 2: Convert to fraction form
   407,856/599,746 = 599,746/x
3. Step 3: Cross multiply
   407,856x = 599,746 × 599,746
4. Step 4: Simplify right side
   407,856x = 359,695,264,516
5. Step 5: Solve for x
   x = 359,695,264,516/407,856
6. Step 6: Final answer
   x = 881,917.31