Finding the Third Proportional to 461,970 and 691,071.75

Step by Step Solution

1. Step 1: Write the proportion equation
   461,970 : 691,071.75 = 691,071.75 : x
2. Step 2: Convert to fraction form
   461,970/691,071.75 = 691,071.75/x
3. Step 3: Cross multiply
   461,970x = 691,071.75 × 691,071.75
4. Step 4: Simplify right side
   461,970x = 477,580,163,648.06
5. Step 5: Solve for x
   x = 477,580,163,648.06/461,970
6. Step 6: Final answer
   x = 1,033,790.43