Finding the Third Proportional to 461,959.50 and 691,056

Step by Step Solution

1. Step 1: Write the proportion equation
   461,959.50 : 691,056 = 691,056 : x
2. Step 2: Convert to fraction form
   461,959.50/691,056 = 691,056/x
3. Step 3: Cross multiply
   461,959.50x = 691,056 × 691,056
4. Step 4: Simplify right side
   461,959.50x = 477,558,395,136
5. Step 5: Solve for x
   x = 477,558,395,136/461,959.50
6. Step 6: Final answer
   x = 1,033,766.80