Finding the Third Proportional to 212,799 and 321,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,799 : 321,736.50 = 321,736.50 : x
2. Step 2: Convert to fraction form
   212,799/321,736.50 = 321,736.50/x
3. Step 3: Cross multiply
   212,799x = 321,736.50 × 321,736.50
4. Step 4: Simplify right side
   212,799x = 103,514,375,432.25
5. Step 5: Solve for x
   x = 103,514,375,432.25/212,799
6. Step 6: Final answer
   x = 486,442.02