Finding the Third Proportional to 353,106 and 764,943.75

Step by Step Solution

1. Step 1: Write the proportion equation
   353,106 : 764,943.75 = 764,943.75 : x
2. Step 2: Convert to fraction form
   353,106/764,943.75 = 764,943.75/x
3. Step 3: Cross multiply
   353,106x = 764,943.75 × 764,943.75
4. Step 4: Simplify right side
   353,106x = 585,138,940,664.06
5. Step 5: Solve for x
   x = 585,138,940,664.06/353,106
6. Step 6: Final answer
   x = 1,657,119.79