Finding the Third Proportional to 462,029.50 and 691,164

Step by Step Solution

1. Step 1: Write the proportion equation
   462,029.50 : 691,164 = 691,164 : x
2. Step 2: Convert to fraction form
   462,029.50/691,164 = 691,164/x
3. Step 3: Cross multiply
   462,029.50x = 691,164 × 691,164
4. Step 4: Simplify right side
   462,029.50x = 477,707,674,896
5. Step 5: Solve for x
   x = 477,707,674,896/462,029.50
6. Step 6: Final answer
   x = 1,033,933.28