Finding the Third Proportional to 359,863.50 and 537,813

Step by Step Solution

1. Step 1: Write the proportion equation
   359,863.50 : 537,813 = 537,813 : x
2. Step 2: Convert to fraction form
   359,863.50/537,813 = 537,813/x
3. Step 3: Cross multiply
   359,863.50x = 537,813 × 537,813
4. Step 4: Simplify right side
   359,863.50x = 289,242,822,969
5. Step 5: Solve for x
   x = 289,242,822,969/359,863.50
6. Step 6: Final answer
   x = 803,757.04