Finding the Third Proportional to 353,142 and 764,957.25

Step by Step Solution

1. Step 1: Write the proportion equation
   353,142 : 764,957.25 = 764,957.25 : x
2. Step 2: Convert to fraction form
   353,142/764,957.25 = 764,957.25/x
3. Step 3: Cross multiply
   353,142x = 764,957.25 × 764,957.25
4. Step 4: Simplify right side
   353,142x = 585,159,594,327.56
5. Step 5: Solve for x
   x = 585,159,594,327.56/353,142
6. Step 6: Final answer
   x = 1,657,009.35