Finding the Third Proportional to 416,034 and 851,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,034 : 851,782.50 = 851,782.50 : x
2. Step 2: Convert to fraction form
   416,034/851,782.50 = 851,782.50/x
3. Step 3: Cross multiply
   416,034x = 851,782.50 × 851,782.50
4. Step 4: Simplify right side
   416,034x = 725,533,427,306.25
5. Step 5: Solve for x
   x = 725,533,427,306.25/416,034
6. Step 6: Final answer
   x = 1,743,928.21