Finding the Third Proportional to 213,076.50 and 355,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,076.50 : 355,084.50 = 355,084.50 : x
2. Step 2: Convert to fraction form
   213,076.50/355,084.50 = 355,084.50/x
3. Step 3: Cross multiply
   213,076.50x = 355,084.50 × 355,084.50
4. Step 4: Simplify right side
   213,076.50x = 126,085,002,140.25
5. Step 5: Solve for x
   x = 126,085,002,140.25/213,076.50
6. Step 6: Final answer
   x = 591,735.84