Finding the Third Proportional to 538,002 and 805,970.25

Step by Step Solution

1. Step 1: Write the proportion equation
   538,002 : 805,970.25 = 805,970.25 : x
2. Step 2: Convert to fraction form
   538,002/805,970.25 = 805,970.25/x
3. Step 3: Cross multiply
   538,002x = 805,970.25 × 805,970.25
4. Step 4: Simplify right side
   538,002x = 649,588,043,885.06
5. Step 5: Solve for x
   x = 649,588,043,885.06/538,002
6. Step 6: Final answer
   x = 1,207,408.23