Finding the Third Proportional to 407,664 and 599,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,664 : 599,503.50 = 599,503.50 : x
2. Step 2: Convert to fraction form
   407,664/599,503.50 = 599,503.50/x
3. Step 3: Cross multiply
   407,664x = 599,503.50 × 599,503.50
4. Step 4: Simplify right side
   407,664x = 359,404,446,512.25
5. Step 5: Solve for x
   x = 359,404,446,512.25/407,664
6. Step 6: Final answer
   x = 881,619.29