Finding the Third Proportional to 354,302 and 538,014

Step by Step Solution

1. Step 1: Write the proportion equation
   354,302 : 538,014 = 538,014 : x
2. Step 2: Convert to fraction form
   354,302/538,014 = 538,014/x
3. Step 3: Cross multiply
   354,302x = 538,014 × 538,014
4. Step 4: Simplify right side
   354,302x = 289,459,064,196
5. Step 5: Solve for x
   x = 289,459,064,196/354,302
6. Step 6: Final answer
   x = 816,984.00