Finding the Third Proportional to 353,121 and 522,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,121 : 522,814.50 = 522,814.50 : x
2. Step 2: Convert to fraction form
   353,121/522,814.50 = 522,814.50/x
3. Step 3: Cross multiply
   353,121x = 522,814.50 × 522,814.50
4. Step 4: Simplify right side
   353,121x = 273,335,001,410.25
5. Step 5: Solve for x
   x = 273,335,001,410.25/353,121
6. Step 6: Final answer
   x = 774,054.79