Finding the Third Proportional to 353,115 and 522,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,115 : 522,805.50 = 522,805.50 : x
2. Step 2: Convert to fraction form
   353,115/522,805.50 = 522,805.50/x
3. Step 3: Cross multiply
   353,115x = 522,805.50 × 522,805.50
4. Step 4: Simplify right side
   353,115x = 273,325,590,830.25
5. Step 5: Solve for x
   x = 273,325,590,830.25/353,115
6. Step 6: Final answer
   x = 774,041.29