Finding the Third Proportional to 191,724 and 416,910

Step by Step Solution

1. Step 1: Write the proportion equation
   191,724 : 416,910 = 416,910 : x
2. Step 2: Convert to fraction form
   191,724/416,910 = 416,910/x
3. Step 3: Cross multiply
   191,724x = 416,910 × 416,910
4. Step 4: Simplify right side
   191,724x = 173,813,948,100
5. Step 5: Solve for x
   x = 173,813,948,100/191,724
6. Step 6: Final answer
   x = 906,584.19