Finding the Third Proportional to 269,085 and 416,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,085 : 416,407.50 = 416,407.50 : x
2. Step 2: Convert to fraction form
   269,085/416,407.50 = 416,407.50/x
3. Step 3: Cross multiply
   269,085x = 416,407.50 × 416,407.50
4. Step 4: Simplify right side
   269,085x = 173,395,206,056.25
5. Step 5: Solve for x
   x = 173,395,206,056.25/269,085
6. Step 6: Final answer
   x = 644,388.23