Finding the Third Proportional to 407,002.50 and 598,309.88

Step by Step Solution

1. Step 1: Write the proportion equation
   407,002.50 : 598,309.88 = 598,309.88 : x
2. Step 2: Convert to fraction form
   407,002.50/598,309.88 = 598,309.88/x
3. Step 3: Cross multiply
   407,002.50x = 598,309.88 × 598,309.88
4. Step 4: Simplify right side
   407,002.50x = 357,974,706,522.52
5. Step 5: Solve for x
   x = 357,974,706,522.52/407,002.50
6. Step 6: Final answer
   x = 879,539.33