Finding the Third Proportional to 435,914 and 588,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   435,914 : 588,772.50 = 588,772.50 : x
2. Step 2: Convert to fraction form
   435,914/588,772.50 = 588,772.50/x
3. Step 3: Cross multiply
   435,914x = 588,772.50 × 588,772.50
4. Step 4: Simplify right side
   435,914x = 346,653,056,756.25
5. Step 5: Solve for x
   x = 346,653,056,756.25/435,914
6. Step 6: Final answer
   x = 795,232.68