Finding the Third Proportional to 407,712 and 599,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,712 : 599,584.50 = 599,584.50 : x
2. Step 2: Convert to fraction form
   407,712/599,584.50 = 599,584.50/x
3. Step 3: Cross multiply
   407,712x = 599,584.50 × 599,584.50
4. Step 4: Simplify right side
   407,712x = 359,501,572,640.25
5. Step 5: Solve for x
   x = 359,501,572,640.25/407,712
6. Step 6: Final answer
   x = 881,753.72