Finding the Third Proportional to 353,101.50 and 522,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,101.50 : 522,784.50 = 522,784.50 : x
2. Step 2: Convert to fraction form
   353,101.50/522,784.50 = 522,784.50/x
3. Step 3: Cross multiply
   353,101.50x = 522,784.50 × 522,784.50
4. Step 4: Simplify right side
   353,101.50x = 273,303,633,440.25
5. Step 5: Solve for x
   x = 273,303,633,440.25/353,101.50
6. Step 6: Final answer
   x = 774,008.70