Finding the Third Proportional to 354,327 and 538,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,327 : 538,048.50 = 538,048.50 : x
2. Step 2: Convert to fraction form
   354,327/538,048.50 = 538,048.50/x
3. Step 3: Cross multiply
   354,327x = 538,048.50 × 538,048.50
4. Step 4: Simplify right side
   354,327x = 289,496,188,352.25
5. Step 5: Solve for x
   x = 289,496,188,352.25/354,327
6. Step 6: Final answer
   x = 817,031.13