Finding the Third Proportional to 270,468 and 398,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   270,468 : 398,047.50 = 398,047.50 : x
2. Step 2: Convert to fraction form
   270,468/398,047.50 = 398,047.50/x
3. Step 3: Cross multiply
   270,468x = 398,047.50 × 398,047.50
4. Step 4: Simplify right side
   270,468x = 158,441,812,256.25
5. Step 5: Solve for x
   x = 158,441,812,256.25/270,468
6. Step 6: Final answer
   x = 585,806.13