Finding the Third Proportional to 435,963 and 591,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   435,963 : 591,736.50 = 591,736.50 : x
2. Step 2: Convert to fraction form
   435,963/591,736.50 = 591,736.50/x
3. Step 3: Cross multiply
   435,963x = 591,736.50 × 591,736.50
4. Step 4: Simplify right side
   435,963x = 350,152,085,432.25
5. Step 5: Solve for x
   x = 350,152,085,432.25/435,963
6. Step 6: Final answer
   x = 803,169.27