Finding the Third Proportional to 191,738 and 416,608

Step by Step Solution

1. Step 1: Write the proportion equation
   191,738 : 416,608 = 416,608 : x
2. Step 2: Convert to fraction form
   191,738/416,608 = 416,608/x
3. Step 3: Cross multiply
   191,738x = 416,608 × 416,608
4. Step 4: Simplify right side
   191,738x = 173,562,225,664
5. Step 5: Solve for x
   x = 173,562,225,664/191,738
6. Step 6: Final answer
   x = 905,205.15