Finding the Third Proportional to 354,438 and 538,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,438 : 538,213.50 = 538,213.50 : x
2. Step 2: Convert to fraction form
   354,438/538,213.50 = 538,213.50/x
3. Step 3: Cross multiply
   354,438x = 538,213.50 × 538,213.50
4. Step 4: Simplify right side
   354,438x = 289,673,771,582.25
5. Step 5: Solve for x
   x = 289,673,771,582.25/354,438
6. Step 6: Final answer
   x = 817,276.28