Finding the Third Proportional to 191,878 and 416,360

Step by Step Solution

1. Step 1: Write the proportion equation
   191,878 : 416,360 = 416,360 : x
2. Step 2: Convert to fraction form
   191,878/416,360 = 416,360/x
3. Step 3: Cross multiply
   191,878x = 416,360 × 416,360
4. Step 4: Simplify right side
   191,878x = 173,355,649,600
5. Step 5: Solve for x
   x = 173,355,649,600/191,878
6. Step 6: Final answer
   x = 903,468.09