Finding the Third Proportional to 525,306 and 764,994

Step by Step Solution

1. Step 1: Write the proportion equation
   525,306 : 764,994 = 764,994 : x
2. Step 2: Convert to fraction form
   525,306/764,994 = 764,994/x
3. Step 3: Cross multiply
   525,306x = 764,994 × 764,994
4. Step 4: Simplify right side
   525,306x = 585,215,820,036
5. Step 5: Solve for x
   x = 585,215,820,036/525,306
6. Step 6: Final answer
   x = 1,114,047.47