Finding the Third Proportional to 428,596 and 583,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   428,596 : 583,767.50 = 583,767.50 : x
2. Step 2: Convert to fraction form
   428,596/583,767.50 = 583,767.50/x
3. Step 3: Cross multiply
   428,596x = 583,767.50 × 583,767.50
4. Step 4: Simplify right side
   428,596x = 340,784,494,056.25
5. Step 5: Solve for x
   x = 340,784,494,056.25/428,596
6. Step 6: Final answer
   x = 795,118.23