Finding the Third Proportional to 461,754 and 690,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   461,754 : 690,772.50 = 690,772.50 : x
2. Step 2: Convert to fraction form
   461,754/690,772.50 = 690,772.50/x
3. Step 3: Cross multiply
   461,754x = 690,772.50 × 690,772.50
4. Step 4: Simplify right side
   461,754x = 477,166,646,756.25
5. Step 5: Solve for x
   x = 477,166,646,756.25/461,754
6. Step 6: Final answer
   x = 1,033,378.48