Finding the Third Proportional to 543,135 and 821,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   543,135 : 821,693.50 = 821,693.50 : x
2. Step 2: Convert to fraction form
   543,135/821,693.50 = 821,693.50/x
3. Step 3: Cross multiply
   543,135x = 821,693.50 × 821,693.50
4. Step 4: Simplify right side
   543,135x = 675,180,207,942.25
5. Step 5: Solve for x
   x = 675,180,207,942.25/543,135
6. Step 6: Final answer
   x = 1,243,116.74