Finding the Third Proportional to 212,883 and 319,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,883 : 319,354.50 = 319,354.50 : x
2. Step 2: Convert to fraction form
   212,883/319,354.50 = 319,354.50/x
3. Step 3: Cross multiply
   212,883x = 319,354.50 × 319,354.50
4. Step 4: Simplify right side
   212,883x = 101,987,296,670.25
5. Step 5: Solve for x
   x = 101,987,296,670.25/212,883
6. Step 6: Final answer
   x = 479,076.75