Finding the Third Proportional to 354,325 and 538,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,325 : 538,045.50 = 538,045.50 : x
2. Step 2: Convert to fraction form
   354,325/538,045.50 = 538,045.50/x
3. Step 3: Cross multiply
   354,325x = 538,045.50 × 538,045.50
4. Step 4: Simplify right side
   354,325x = 289,492,960,070.25
5. Step 5: Solve for x
   x = 289,492,960,070.25/354,325
6. Step 6: Final answer
   x = 817,026.63