Finding the Third Proportional to 328,347 and 471,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   328,347 : 471,784.50 = 471,784.50 : x
2. Step 2: Convert to fraction form
   328,347/471,784.50 = 471,784.50/x
3. Step 3: Cross multiply
   328,347x = 471,784.50 × 471,784.50
4. Step 4: Simplify right side
   328,347x = 222,580,614,440.25
5. Step 5: Solve for x
   x = 222,580,614,440.25/328,347
6. Step 6: Final answer
   x = 677,882.28