Finding the Third Proportional to 191,598 and 416,766

Step by Step Solution

1. Step 1: Write the proportion equation
   191,598 : 416,766 = 416,766 : x
2. Step 2: Convert to fraction form
   191,598/416,766 = 416,766/x
3. Step 3: Cross multiply
   191,598x = 416,766 × 416,766
4. Step 4: Simplify right side
   191,598x = 173,693,898,756
5. Step 5: Solve for x
   x = 173,693,898,756/191,598
6. Step 6: Final answer
   x = 906,553.82