Finding the Third Proportional to 407,015 and 598,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,015 : 598,327.50 = 598,327.50 : x
2. Step 2: Convert to fraction form
   407,015/598,327.50 = 598,327.50/x
3. Step 3: Cross multiply
   407,015x = 598,327.50 × 598,327.50
4. Step 4: Simplify right side
   407,015x = 357,995,797,256.25
5. Step 5: Solve for x
   x = 357,995,797,256.25/407,015
6. Step 6: Final answer
   x = 879,564.14