Finding the Third Proportional to 83,470.50 and 182,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,470.50 : 182,857.50 = 182,857.50 : x
2. Step 2: Convert to fraction form
   83,470.50/182,857.50 = 182,857.50/x
3. Step 3: Cross multiply
   83,470.50x = 182,857.50 × 182,857.50
4. Step 4: Simplify right side
   83,470.50x = 33,436,865,306.25
5. Step 5: Solve for x
   x = 33,436,865,306.25/83,470.50
6. Step 6: Final answer
   x = 400,583.02