Finding the Third Proportional to 354,918 and 531,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,918 : 531,829.50 = 531,829.50 : x
2. Step 2: Convert to fraction form
   354,918/531,829.50 = 531,829.50/x
3. Step 3: Cross multiply
   354,918x = 531,829.50 × 531,829.50
4. Step 4: Simplify right side
   354,918x = 282,842,617,070.25
5. Step 5: Solve for x
   x = 282,842,617,070.25/354,918
6. Step 6: Final answer
   x = 796,923.84